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Finding the Third Proportional to 5,742 and 12,564

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Solution

The third proportional to 5,742 and 12,564 is: 27,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 12,564 = 12,564 : x
  2. Step 2: Convert to fraction form
    5,742/12,564 = 12,564/x
  3. Step 3: Cross multiply
    5,742x = 12,564 × 12,564
  4. Step 4: Simplify right side
    5,742x = 157,854,096
  5. Step 5: Solve for x
    x = 157,854,096/5,742
  6. Step 6: Final answer
    x = 27,491.13

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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.