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Finding the Third Proportional to 15,800 and 33,742

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Solution

The third proportional to 15,800 and 33,742 is: 72,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800 : 33,742 = 33,742 : x
  2. Step 2: Convert to fraction form
    15,800/33,742 = 33,742/x
  3. Step 3: Cross multiply
    15,800x = 33,742 × 33,742
  4. Step 4: Simplify right side
    15,800x = 1,138,522,564
  5. Step 5: Solve for x
    x = 1,138,522,564/15,800
  6. Step 6: Final answer
    x = 72,058.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.