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Finding the Third Proportional to 28,524 and 60,742

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Solution

The third proportional to 28,524 and 60,742 is: 129,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,524 : 60,742 = 60,742 : x
  2. Step 2: Convert to fraction form
    28,524/60,742 = 60,742/x
  3. Step 3: Cross multiply
    28,524x = 60,742 × 60,742
  4. Step 4: Simplify right side
    28,524x = 3,689,590,564
  5. Step 5: Solve for x
    x = 3,689,590,564/28,524
  6. Step 6: Final answer
    x = 129,350.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.