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Finding the Third Proportional to 29,776 and 62,002

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Solution

The third proportional to 29,776 and 62,002 is: 129,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,776 : 62,002 = 62,002 : x
  2. Step 2: Convert to fraction form
    29,776/62,002 = 62,002/x
  3. Step 3: Cross multiply
    29,776x = 62,002 × 62,002
  4. Step 4: Simplify right side
    29,776x = 3,844,248,004
  5. Step 5: Solve for x
    x = 3,844,248,004/29,776
  6. Step 6: Final answer
    x = 129,105.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.