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Finding the Third Proportional to 37,182.75 and 58,812

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Solution

The third proportional to 37,182.75 and 58,812 is: 93,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,182.75 : 58,812 = 58,812 : x
  2. Step 2: Convert to fraction form
    37,182.75/58,812 = 58,812/x
  3. Step 3: Cross multiply
    37,182.75x = 58,812 × 58,812
  4. Step 4: Simplify right side
    37,182.75x = 3,458,851,344
  5. Step 5: Solve for x
    x = 3,458,851,344/37,182.75
  6. Step 6: Final answer
    x = 93,023.01

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.