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Finding the Third Proportional to 29,432 and 37,790

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Solution

The third proportional to 29,432 and 37,790 is: 48,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,432 : 37,790 = 37,790 : x
  2. Step 2: Convert to fraction form
    29,432/37,790 = 37,790/x
  3. Step 3: Cross multiply
    29,432x = 37,790 × 37,790
  4. Step 4: Simplify right side
    29,432x = 1,428,084,100
  5. Step 5: Solve for x
    x = 1,428,084,100/29,432
  6. Step 6: Final answer
    x = 48,521.48

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.