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Finding the Third Proportional to 42,781.50 and 55,576.13

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Solution

The third proportional to 42,781.50 and 55,576.13 is: 72,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,781.50 : 55,576.13 = 55,576.13 : x
  2. Step 2: Convert to fraction form
    42,781.50/55,576.13 = 55,576.13/x
  3. Step 3: Cross multiply
    42,781.50x = 55,576.13 × 55,576.13
  4. Step 4: Simplify right side
    42,781.50x = 3,088,705,670.02
  5. Step 5: Solve for x
    x = 3,088,705,670.02/42,781.50
  6. Step 6: Final answer
    x = 72,197.23

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