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Finding the Third Proportional to 29,762 and 62,588

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Solution

The third proportional to 29,762 and 62,588 is: 131,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762 : 62,588 = 62,588 : x
  2. Step 2: Convert to fraction form
    29,762/62,588 = 62,588/x
  3. Step 3: Cross multiply
    29,762x = 62,588 × 62,588
  4. Step 4: Simplify right side
    29,762x = 3,917,257,744
  5. Step 5: Solve for x
    x = 3,917,257,744/29,762
  6. Step 6: Final answer
    x = 131,619.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.