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Finding the Third Proportional to 15,742 and 24,564

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Solution

The third proportional to 15,742 and 24,564 is: 38,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742 : 24,564 = 24,564 : x
  2. Step 2: Convert to fraction form
    15,742/24,564 = 24,564/x
  3. Step 3: Cross multiply
    15,742x = 24,564 × 24,564
  4. Step 4: Simplify right side
    15,742x = 603,390,096
  5. Step 5: Solve for x
    x = 603,390,096/15,742
  6. Step 6: Final answer
    x = 38,329.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.