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Finding the Third Proportional to 5,700 and 8,715

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Solution

The third proportional to 5,700 and 8,715 is: 13,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700 : 8,715 = 8,715 : x
  2. Step 2: Convert to fraction form
    5,700/8,715 = 8,715/x
  3. Step 3: Cross multiply
    5,700x = 8,715 × 8,715
  4. Step 4: Simplify right side
    5,700x = 75,951,225
  5. Step 5: Solve for x
    x = 75,951,225/5,700
  6. Step 6: Final answer
    x = 13,324.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.