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Finding the Third Proportional to 8,073 and 17,737.31

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Solution

The third proportional to 8,073 and 17,737.31 is: 38,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073 : 17,737.31 = 17,737.31 : x
  2. Step 2: Convert to fraction form
    8,073/17,737.31 = 17,737.31/x
  3. Step 3: Cross multiply
    8,073x = 17,737.31 × 17,737.31
  4. Step 4: Simplify right side
    8,073x = 314,612,254.72
  5. Step 5: Solve for x
    x = 314,612,254.72/8,073
  6. Step 6: Final answer
    x = 38,970.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.