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Finding the Third Proportional to 15,444 and 24,876

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Solution

The third proportional to 15,444 and 24,876 is: 40,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,444 : 24,876 = 24,876 : x
  2. Step 2: Convert to fraction form
    15,444/24,876 = 24,876/x
  3. Step 3: Cross multiply
    15,444x = 24,876 × 24,876
  4. Step 4: Simplify right side
    15,444x = 618,815,376
  5. Step 5: Solve for x
    x = 618,815,376/15,444
  6. Step 6: Final answer
    x = 40,068.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.