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Finding the Third Proportional to 17,748 and 24,876

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Solution

The third proportional to 17,748 and 24,876 is: 34,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748 : 24,876 = 24,876 : x
  2. Step 2: Convert to fraction form
    17,748/24,876 = 24,876/x
  3. Step 3: Cross multiply
    17,748x = 24,876 × 24,876
  4. Step 4: Simplify right side
    17,748x = 618,815,376
  5. Step 5: Solve for x
    x = 618,815,376/17,748
  6. Step 6: Final answer
    x = 34,866.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.