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Finding the Third Proportional to 11,564 and 27,742

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Solution

The third proportional to 11,564 and 27,742 is: 66,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564 : 27,742 = 27,742 : x
  2. Step 2: Convert to fraction form
    11,564/27,742 = 27,742/x
  3. Step 3: Cross multiply
    11,564x = 27,742 × 27,742
  4. Step 4: Simplify right side
    11,564x = 769,618,564
  5. Step 5: Solve for x
    x = 769,618,564/11,564
  6. Step 6: Final answer
    x = 66,552.97

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.