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Finding the Third Proportional to 39,085 and 60,599

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Solution

The third proportional to 39,085 and 60,599 is: 93,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,085 : 60,599 = 60,599 : x
  2. Step 2: Convert to fraction form
    39,085/60,599 = 60,599/x
  3. Step 3: Cross multiply
    39,085x = 60,599 × 60,599
  4. Step 4: Simplify right side
    39,085x = 3,672,238,801
  5. Step 5: Solve for x
    x = 3,672,238,801/39,085
  6. Step 6: Final answer
    x = 93,955.20

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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.