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Finding the Third Proportional to 37,952 and 56,716

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Solution

The third proportional to 37,952 and 56,716 is: 84,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,952 : 56,716 = 56,716 : x
  2. Step 2: Convert to fraction form
    37,952/56,716 = 56,716/x
  3. Step 3: Cross multiply
    37,952x = 56,716 × 56,716
  4. Step 4: Simplify right side
    37,952x = 3,216,704,656
  5. Step 5: Solve for x
    x = 3,216,704,656/37,952
  6. Step 6: Final answer
    x = 84,757.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.