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Finding the Third Proportional to 29,431 and 62,901

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Solution

The third proportional to 29,431 and 62,901 is: 134,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431 : 62,901 = 62,901 : x
  2. Step 2: Convert to fraction form
    29,431/62,901 = 62,901/x
  3. Step 3: Cross multiply
    29,431x = 62,901 × 62,901
  4. Step 4: Simplify right side
    29,431x = 3,956,535,801
  5. Step 5: Solve for x
    x = 3,956,535,801/29,431
  6. Step 6: Final answer
    x = 134,434.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.