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Finding the Third Proportional to 17,231.06 and 25,385.06

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Solution

The third proportional to 17,231.06 and 25,385.06 is: 37,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,231.06 : 25,385.06 = 25,385.06 : x
  2. Step 2: Convert to fraction form
    17,231.06/25,385.06 = 25,385.06/x
  3. Step 3: Cross multiply
    17,231.06x = 25,385.06 × 25,385.06
  4. Step 4: Simplify right side
    17,231.06x = 644,401,398.13
  5. Step 5: Solve for x
    x = 644,401,398.13/17,231.06
  6. Step 6: Final answer
    x = 37,397.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.