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Finding the Third Proportional to 22,154.25 and 32,883.75

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Solution

The third proportional to 22,154.25 and 32,883.75 is: 48,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.25 : 32,883.75 = 32,883.75 : x
  2. Step 2: Convert to fraction form
    22,154.25/32,883.75 = 32,883.75/x
  3. Step 3: Cross multiply
    22,154.25x = 32,883.75 × 32,883.75
  4. Step 4: Simplify right side
    22,154.25x = 1,081,341,014.06
  5. Step 5: Solve for x
    x = 1,081,341,014.06/22,154.25
  6. Step 6: Final answer
    x = 48,809.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.