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Finding the Third Proportional to 37,761.61 and 52,934.77

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Solution

The third proportional to 37,761.61 and 52,934.77 is: 74,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,761.61 : 52,934.77 = 52,934.77 : x
  2. Step 2: Convert to fraction form
    37,761.61/52,934.77 = 52,934.77/x
  3. Step 3: Cross multiply
    37,761.61x = 52,934.77 × 52,934.77
  4. Step 4: Simplify right side
    37,761.61x = 2,802,089,411.77
  5. Step 5: Solve for x
    x = 2,802,089,411.77/37,761.61
  6. Step 6: Final answer
    x = 74,204.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.