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Finding the Third Proportional to 39,174 and 63,060

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Solution

The third proportional to 39,174 and 63,060 is: 101,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,174 : 63,060 = 63,060 : x
  2. Step 2: Convert to fraction form
    39,174/63,060 = 63,060/x
  3. Step 3: Cross multiply
    39,174x = 63,060 × 63,060
  4. Step 4: Simplify right side
    39,174x = 3,976,563,600
  5. Step 5: Solve for x
    x = 3,976,563,600/39,174
  6. Step 6: Final answer
    x = 101,510.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.