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Finding the Third Proportional to 37,261 and 56,372

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Solution

The third proportional to 37,261 and 56,372 is: 85,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,261 : 56,372 = 56,372 : x
  2. Step 2: Convert to fraction form
    37,261/56,372 = 56,372/x
  3. Step 3: Cross multiply
    37,261x = 56,372 × 56,372
  4. Step 4: Simplify right side
    37,261x = 3,177,802,384
  5. Step 5: Solve for x
    x = 3,177,802,384/37,261
  6. Step 6: Final answer
    x = 85,284.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.