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Finding the Third Proportional to 13,317.75 and 17,371.13

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Solution

The third proportional to 13,317.75 and 17,371.13 is: 22,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,317.75 : 17,371.13 = 17,371.13 : x
  2. Step 2: Convert to fraction form
    13,317.75/17,371.13 = 17,371.13/x
  3. Step 3: Cross multiply
    13,317.75x = 17,371.13 × 17,371.13
  4. Step 4: Simplify right side
    13,317.75x = 301,755,983.77
  5. Step 5: Solve for x
    x = 301,755,983.77/13,317.75
  6. Step 6: Final answer
    x = 22,658.18

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.