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Finding the Third Proportional to 12,993.75 and 17,371.13

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Solution

The third proportional to 12,993.75 and 17,371.13 is: 23,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.75 : 17,371.13 = 17,371.13 : x
  2. Step 2: Convert to fraction form
    12,993.75/17,371.13 = 17,371.13/x
  3. Step 3: Cross multiply
    12,993.75x = 17,371.13 × 17,371.13
  4. Step 4: Simplify right side
    12,993.75x = 301,755,983.77
  5. Step 5: Solve for x
    x = 301,755,983.77/12,993.75
  6. Step 6: Final answer
    x = 23,223.16

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.