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Finding the Third Proportional to 39,466 and 58,599

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Solution

The third proportional to 39,466 and 58,599 is: 87,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,466 : 58,599 = 58,599 : x
  2. Step 2: Convert to fraction form
    39,466/58,599 = 58,599/x
  3. Step 3: Cross multiply
    39,466x = 58,599 × 58,599
  4. Step 4: Simplify right side
    39,466x = 3,433,842,801
  5. Step 5: Solve for x
    x = 3,433,842,801/39,466
  6. Step 6: Final answer
    x = 87,007.62

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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.