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Finding the Third Proportional to 34,012.41 and 52,761.38

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Solution

The third proportional to 34,012.41 and 52,761.38 is: 81,845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,012.41 : 52,761.38 = 52,761.38 : x
  2. Step 2: Convert to fraction form
    34,012.41/52,761.38 = 52,761.38/x
  3. Step 3: Cross multiply
    34,012.41x = 52,761.38 × 52,761.38
  4. Step 4: Simplify right side
    34,012.41x = 2,783,762,691.89
  5. Step 5: Solve for x
    x = 2,783,762,691.89/34,012.41
  6. Step 6: Final answer
    x = 81,845.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.