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Finding the Third Proportional to 15,202 and 22,742

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Solution

The third proportional to 15,202 and 22,742 is: 34,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202 : 22,742 = 22,742 : x
  2. Step 2: Convert to fraction form
    15,202/22,742 = 22,742/x
  3. Step 3: Cross multiply
    15,202x = 22,742 × 22,742
  4. Step 4: Simplify right side
    15,202x = 517,198,564
  5. Step 5: Solve for x
    x = 517,198,564/15,202
  6. Step 6: Final answer
    x = 34,021.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.