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Finding the Third Proportional to 28,046.25 and 37,781.44

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Solution

The third proportional to 28,046.25 and 37,781.44 is: 50,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,046.25 : 37,781.44 = 37,781.44 : x
  2. Step 2: Convert to fraction form
    28,046.25/37,781.44 = 37,781.44/x
  3. Step 3: Cross multiply
    28,046.25x = 37,781.44 × 37,781.44
  4. Step 4: Simplify right side
    28,046.25x = 1,427,437,019.57
  5. Step 5: Solve for x
    x = 1,427,437,019.57/28,046.25
  6. Step 6: Final answer
    x = 50,895.82

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.