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Finding the Third Proportional to 39,003 and 60,342

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Solution

The third proportional to 39,003 and 60,342 is: 93,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,003 : 60,342 = 60,342 : x
  2. Step 2: Convert to fraction form
    39,003/60,342 = 60,342/x
  3. Step 3: Cross multiply
    39,003x = 60,342 × 60,342
  4. Step 4: Simplify right side
    39,003x = 3,641,156,964
  5. Step 5: Solve for x
    x = 3,641,156,964/39,003
  6. Step 6: Final answer
    x = 93,355.82

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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.