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Finding the Third Proportional to 11,876 and 25,540

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Solution

The third proportional to 11,876 and 25,540 is: 54,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876 : 25,540 = 25,540 : x
  2. Step 2: Convert to fraction form
    11,876/25,540 = 25,540/x
  3. Step 3: Cross multiply
    11,876x = 25,540 × 25,540
  4. Step 4: Simplify right side
    11,876x = 652,291,600
  5. Step 5: Solve for x
    x = 652,291,600/11,876
  6. Step 6: Final answer
    x = 54,925.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.