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Finding the Third Proportional to 39,154 and 52,448

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Solution

The third proportional to 39,154 and 52,448 is: 70,255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,154 : 52,448 = 52,448 : x
  2. Step 2: Convert to fraction form
    39,154/52,448 = 52,448/x
  3. Step 3: Cross multiply
    39,154x = 52,448 × 52,448
  4. Step 4: Simplify right side
    39,154x = 2,750,792,704
  5. Step 5: Solve for x
    x = 2,750,792,704/39,154
  6. Step 6: Final answer
    x = 70,255.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.