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Finding the Third Proportional to 23,700 and 54,876

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Solution

The third proportional to 23,700 and 54,876 is: 127,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,700 : 54,876 = 54,876 : x
  2. Step 2: Convert to fraction form
    23,700/54,876 = 54,876/x
  3. Step 3: Cross multiply
    23,700x = 54,876 × 54,876
  4. Step 4: Simplify right side
    23,700x = 3,011,375,376
  5. Step 5: Solve for x
    x = 3,011,375,376/23,700
  6. Step 6: Final answer
    x = 127,062.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.