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Finding the Third Proportional to 25,700 and 54,793

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Solution

The third proportional to 25,700 and 54,793 is: 116,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700 : 54,793 = 54,793 : x
  2. Step 2: Convert to fraction form
    25,700/54,793 = 54,793/x
  3. Step 3: Cross multiply
    25,700x = 54,793 × 54,793
  4. Step 4: Simplify right side
    25,700x = 3,002,272,849
  5. Step 5: Solve for x
    x = 3,002,272,849/25,700
  6. Step 6: Final answer
    x = 116,819.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.