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Finding the Third Proportional to 37,955 and 56,757

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Solution

The third proportional to 37,955 and 56,757 is: 84,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,955 : 56,757 = 56,757 : x
  2. Step 2: Convert to fraction form
    37,955/56,757 = 56,757/x
  3. Step 3: Cross multiply
    37,955x = 56,757 × 56,757
  4. Step 4: Simplify right side
    37,955x = 3,221,357,049
  5. Step 5: Solve for x
    x = 3,221,357,049/37,955
  6. Step 6: Final answer
    x = 84,873.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.