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Finding the Third Proportional to 13,165.88 and 17,737.31

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Solution

The third proportional to 13,165.88 and 17,737.31 is: 23,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.88 : 17,737.31 = 17,737.31 : x
  2. Step 2: Convert to fraction form
    13,165.88/17,737.31 = 17,737.31/x
  3. Step 3: Cross multiply
    13,165.88x = 17,737.31 × 17,737.31
  4. Step 4: Simplify right side
    13,165.88x = 314,612,254.72
  5. Step 5: Solve for x
    x = 314,612,254.72/13,165.88
  6. Step 6: Final answer
    x = 23,896.04

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.