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Finding the Third Proportional to 38,407 and 59,609

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Solution

The third proportional to 38,407 and 59,609 is: 92,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407 : 59,609 = 59,609 : x
  2. Step 2: Convert to fraction form
    38,407/59,609 = 59,609/x
  3. Step 3: Cross multiply
    38,407x = 59,609 × 59,609
  4. Step 4: Simplify right side
    38,407x = 3,553,232,881
  5. Step 5: Solve for x
    x = 3,553,232,881/38,407
  6. Step 6: Final answer
    x = 92,515.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.