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Finding the Third Proportional to 29,381.91 and 44,761.78

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Solution

The third proportional to 29,381.91 and 44,761.78 is: 68,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,381.91 : 44,761.78 = 44,761.78 : x
  2. Step 2: Convert to fraction form
    29,381.91/44,761.78 = 44,761.78/x
  3. Step 3: Cross multiply
    29,381.91x = 44,761.78 × 44,761.78
  4. Step 4: Simplify right side
    29,381.91x = 2,003,617,060.67
  5. Step 5: Solve for x
    x = 2,003,617,060.67/29,381.91
  6. Step 6: Final answer
    x = 68,192.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.