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Finding the Third Proportional to 37,452.38 and 82,058.06

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Solution

The third proportional to 37,452.38 and 82,058.06 is: 179,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,452.38 : 82,058.06 = 82,058.06 : x
  2. Step 2: Convert to fraction form
    37,452.38/82,058.06 = 82,058.06/x
  3. Step 3: Cross multiply
    37,452.38x = 82,058.06 × 82,058.06
  4. Step 4: Simplify right side
    37,452.38x = 6,733,525,621.25
  5. Step 5: Solve for x
    x = 6,733,525,621.25/37,452.38
  6. Step 6: Final answer
    x = 179,789.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.