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Finding the Third Proportional to 37,016.50 and 58,873

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Solution

The third proportional to 37,016.50 and 58,873 is: 93,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,016.50 : 58,873 = 58,873 : x
  2. Step 2: Convert to fraction form
    37,016.50/58,873 = 58,873/x
  3. Step 3: Cross multiply
    37,016.50x = 58,873 × 58,873
  4. Step 4: Simplify right side
    37,016.50x = 3,466,030,129
  5. Step 5: Solve for x
    x = 3,466,030,129/37,016.50
  6. Step 6: Final answer
    x = 93,634.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.