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Finding the Third Proportional to 11,656 and 15,742

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Solution

The third proportional to 11,656 and 15,742 is: 21,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656 : 15,742 = 15,742 : x
  2. Step 2: Convert to fraction form
    11,656/15,742 = 15,742/x
  3. Step 3: Cross multiply
    11,656x = 15,742 × 15,742
  4. Step 4: Simplify right side
    11,656x = 247,810,564
  5. Step 5: Solve for x
    x = 247,810,564/11,656
  6. Step 6: Final answer
    x = 21,260.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.