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Finding the Third Proportional to 29,474 and 62,362

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Solution

The third proportional to 29,474 and 62,362 is: 131,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,474 : 62,362 = 62,362 : x
  2. Step 2: Convert to fraction form
    29,474/62,362 = 62,362/x
  3. Step 3: Cross multiply
    29,474x = 62,362 × 62,362
  4. Step 4: Simplify right side
    29,474x = 3,889,019,044
  5. Step 5: Solve for x
    x = 3,889,019,044/29,474
  6. Step 6: Final answer
    x = 131,947.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.