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Finding the Third Proportional to 37,058.25 and 81,036.38

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Solution

The third proportional to 37,058.25 and 81,036.38 is: 177,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,058.25 : 81,036.38 = 81,036.38 : x
  2. Step 2: Convert to fraction form
    37,058.25/81,036.38 = 81,036.38/x
  3. Step 3: Cross multiply
    37,058.25x = 81,036.38 × 81,036.38
  4. Step 4: Simplify right side
    37,058.25x = 6,566,894,073.14
  5. Step 5: Solve for x
    x = 6,566,894,073.14/37,058.25
  6. Step 6: Final answer
    x = 177,204.65

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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.