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Finding the Third Proportional to 25,704 and 29,484

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Solution

The third proportional to 25,704 and 29,484 is: 33,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704 : 29,484 = 29,484 : x
  2. Step 2: Convert to fraction form
    25,704/29,484 = 29,484/x
  3. Step 3: Cross multiply
    25,704x = 29,484 × 29,484
  4. Step 4: Simplify right side
    25,704x = 869,306,256
  5. Step 5: Solve for x
    x = 869,306,256/25,704
  6. Step 6: Final answer
    x = 33,819.88

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.