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Finding the Third Proportional to 37,036.62 and 87,394.57

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Solution

The third proportional to 37,036.62 and 87,394.57 is: 206,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,036.62 : 87,394.57 = 87,394.57 : x
  2. Step 2: Convert to fraction form
    37,036.62/87,394.57 = 87,394.57/x
  3. Step 3: Cross multiply
    37,036.62x = 87,394.57 × 87,394.57
  4. Step 4: Simplify right side
    37,036.62x = 7,637,810,920.11
  5. Step 5: Solve for x
    x = 7,637,810,920.11/37,036.62
  6. Step 6: Final answer
    x = 206,223.23

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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.