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Finding the Third Proportional to 37,641 and 55,048

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Solution

The third proportional to 37,641 and 55,048 is: 80,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641 : 55,048 = 55,048 : x
  2. Step 2: Convert to fraction form
    37,641/55,048 = 55,048/x
  3. Step 3: Cross multiply
    37,641x = 55,048 × 55,048
  4. Step 4: Simplify right side
    37,641x = 3,030,282,304
  5. Step 5: Solve for x
    x = 3,030,282,304/37,641
  6. Step 6: Final answer
    x = 80,504.83

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.