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Finding the Third Proportional to 29,437 and 62,001

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Solution

The third proportional to 29,437 and 62,001 is: 130,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,437 : 62,001 = 62,001 : x
  2. Step 2: Convert to fraction form
    29,437/62,001 = 62,001/x
  3. Step 3: Cross multiply
    29,437x = 62,001 × 62,001
  4. Step 4: Simplify right side
    29,437x = 3,844,124,001
  5. Step 5: Solve for x
    x = 3,844,124,001/29,437
  6. Step 6: Final answer
    x = 130,588.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.