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Finding the Third Proportional to 17,714 and 25,612

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Solution

The third proportional to 17,714 and 25,612 is: 37,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714 : 25,612 = 25,612 : x
  2. Step 2: Convert to fraction form
    17,714/25,612 = 25,612/x
  3. Step 3: Cross multiply
    17,714x = 25,612 × 25,612
  4. Step 4: Simplify right side
    17,714x = 655,974,544
  5. Step 5: Solve for x
    x = 655,974,544/17,714
  6. Step 6: Final answer
    x = 37,031.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.