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Finding the Third Proportional to 37,331 and 55,858

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Solution

The third proportional to 37,331 and 55,858 is: 83,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,331 : 55,858 = 55,858 : x
  2. Step 2: Convert to fraction form
    37,331/55,858 = 55,858/x
  3. Step 3: Cross multiply
    37,331x = 55,858 × 55,858
  4. Step 4: Simplify right side
    37,331x = 3,120,116,164
  5. Step 5: Solve for x
    x = 3,120,116,164/37,331
  6. Step 6: Final answer
    x = 83,579.76

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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.