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Finding the Third Proportional to 37,128.38 and 87,557.63

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Solution

The third proportional to 37,128.38 and 87,557.63 is: 206,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,128.38 : 87,557.63 = 87,557.63 : x
  2. Step 2: Convert to fraction form
    37,128.38/87,557.63 = 87,557.63/x
  3. Step 3: Cross multiply
    37,128.38x = 87,557.63 × 87,557.63
  4. Step 4: Simplify right side
    37,128.38x = 7,666,337,695.64
  5. Step 5: Solve for x
    x = 7,666,337,695.64/37,128.38
  6. Step 6: Final answer
    x = 206,481.91

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.