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Finding the Third Proportional to 16,098.75 and 24,876

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Solution

The third proportional to 16,098.75 and 24,876 is: 38,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.75 : 24,876 = 24,876 : x
  2. Step 2: Convert to fraction form
    16,098.75/24,876 = 24,876/x
  3. Step 3: Cross multiply
    16,098.75x = 24,876 × 24,876
  4. Step 4: Simplify right side
    16,098.75x = 618,815,376
  5. Step 5: Solve for x
    x = 618,815,376/16,098.75
  6. Step 6: Final answer
    x = 38,438.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.