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Finding the Third Proportional to 15,452 and 17,612

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Solution

The third proportional to 15,452 and 17,612 is: 20,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,452 : 17,612 = 17,612 : x
  2. Step 2: Convert to fraction form
    15,452/17,612 = 17,612/x
  3. Step 3: Cross multiply
    15,452x = 17,612 × 17,612
  4. Step 4: Simplify right side
    15,452x = 310,182,544
  5. Step 5: Solve for x
    x = 310,182,544/15,452
  6. Step 6: Final answer
    x = 20,073.94

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.