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Finding the Third Proportional to 5,731 and 12,569

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Solution

The third proportional to 5,731 and 12,569 is: 27,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731 : 12,569 = 12,569 : x
  2. Step 2: Convert to fraction form
    5,731/12,569 = 12,569/x
  3. Step 3: Cross multiply
    5,731x = 12,569 × 12,569
  4. Step 4: Simplify right side
    5,731x = 157,979,761
  5. Step 5: Solve for x
    x = 157,979,761/5,731
  6. Step 6: Final answer
    x = 27,565.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.