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Finding the Third Proportional to 37,766.25 and 55,605.38

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Solution

The third proportional to 37,766.25 and 55,605.38 is: 81,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,766.25 : 55,605.38 = 55,605.38 : x
  2. Step 2: Convert to fraction form
    37,766.25/55,605.38 = 55,605.38/x
  3. Step 3: Cross multiply
    37,766.25x = 55,605.38 × 55,605.38
  4. Step 4: Simplify right side
    37,766.25x = 3,091,957,728.89
  5. Step 5: Solve for x
    x = 3,091,957,728.89/37,766.25
  6. Step 6: Final answer
    x = 81,870.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.