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Finding the Third Proportional to 40,547.25 and 94,720.50

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Solution

The third proportional to 40,547.25 and 94,720.50 is: 221,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,547.25 : 94,720.50 = 94,720.50 : x
  2. Step 2: Convert to fraction form
    40,547.25/94,720.50 = 94,720.50/x
  3. Step 3: Cross multiply
    40,547.25x = 94,720.50 × 94,720.50
  4. Step 4: Simplify right side
    40,547.25x = 8,971,973,120.25
  5. Step 5: Solve for x
    x = 8,971,973,120.25/40,547.25
  6. Step 6: Final answer
    x = 221,272.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.