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Finding the Third Proportional to 29,758 and 62,434

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Solution

The third proportional to 29,758 and 62,434 is: 130,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758 : 62,434 = 62,434 : x
  2. Step 2: Convert to fraction form
    29,758/62,434 = 62,434/x
  3. Step 3: Cross multiply
    29,758x = 62,434 × 62,434
  4. Step 4: Simplify right side
    29,758x = 3,898,004,356
  5. Step 5: Solve for x
    x = 3,898,004,356/29,758
  6. Step 6: Final answer
    x = 130,990.13

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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.