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Finding the Third Proportional to 37,789.88 and 58,982.34

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Solution

The third proportional to 37,789.88 and 58,982.34 is: 92,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,789.88 : 58,982.34 = 58,982.34 : x
  2. Step 2: Convert to fraction form
    37,789.88/58,982.34 = 58,982.34/x
  3. Step 3: Cross multiply
    37,789.88x = 58,982.34 × 58,982.34
  4. Step 4: Simplify right side
    37,789.88x = 3,478,916,874.24
  5. Step 5: Solve for x
    x = 3,478,916,874.24/37,789.88
  6. Step 6: Final answer
    x = 92,059.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.