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Finding the Third Proportional to 29,524 and 38,340

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Solution

The third proportional to 29,524 and 38,340 is: 49,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,524 : 38,340 = 38,340 : x
  2. Step 2: Convert to fraction form
    29,524/38,340 = 38,340/x
  3. Step 3: Cross multiply
    29,524x = 38,340 × 38,340
  4. Step 4: Simplify right side
    29,524x = 1,469,955,600
  5. Step 5: Solve for x
    x = 1,469,955,600/29,524
  6. Step 6: Final answer
    x = 49,788.50

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.