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Finding the Third Proportional to 17,611 and 25,714

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Solution

The third proportional to 17,611 and 25,714 is: 37,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,611 : 25,714 = 25,714 : x
  2. Step 2: Convert to fraction form
    17,611/25,714 = 25,714/x
  3. Step 3: Cross multiply
    17,611x = 25,714 × 25,714
  4. Step 4: Simplify right side
    17,611x = 661,209,796
  5. Step 5: Solve for x
    x = 661,209,796/17,611
  6. Step 6: Final answer
    x = 37,545.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.