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Finding the Third Proportional to 13,560 and 17,876

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Solution

The third proportional to 13,560 and 17,876 is: 23,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,560 : 17,876 = 17,876 : x
  2. Step 2: Convert to fraction form
    13,560/17,876 = 17,876/x
  3. Step 3: Cross multiply
    13,560x = 17,876 × 17,876
  4. Step 4: Simplify right side
    13,560x = 319,551,376
  5. Step 5: Solve for x
    x = 319,551,376/13,560
  6. Step 6: Final answer
    x = 23,565.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.