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Finding the Third Proportional to 17,044 and 26,452

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Solution

The third proportional to 17,044 and 26,452 is: 41,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,044 : 26,452 = 26,452 : x
  2. Step 2: Convert to fraction form
    17,044/26,452 = 26,452/x
  3. Step 3: Cross multiply
    17,044x = 26,452 × 26,452
  4. Step 4: Simplify right side
    17,044x = 699,708,304
  5. Step 5: Solve for x
    x = 699,708,304/17,044
  6. Step 6: Final answer
    x = 41,053.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.