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Finding the Third Proportional to 4,194.50 and 9,041.50

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Solution

The third proportional to 4,194.50 and 9,041.50 is: 19,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.50 : 9,041.50 = 9,041.50 : x
  2. Step 2: Convert to fraction form
    4,194.50/9,041.50 = 9,041.50/x
  3. Step 3: Cross multiply
    4,194.50x = 9,041.50 × 9,041.50
  4. Step 4: Simplify right side
    4,194.50x = 81,748,722.25
  5. Step 5: Solve for x
    x = 81,748,722.25/4,194.50
  6. Step 6: Final answer
    x = 19,489.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.