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Finding the Third Proportional to 36,948.75 and 81,045.38

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Solution

The third proportional to 36,948.75 and 81,045.38 is: 177,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,948.75 : 81,045.38 = 81,045.38 : x
  2. Step 2: Convert to fraction form
    36,948.75/81,045.38 = 81,045.38/x
  3. Step 3: Cross multiply
    36,948.75x = 81,045.38 × 81,045.38
  4. Step 4: Simplify right side
    36,948.75x = 6,568,352,808.89
  5. Step 5: Solve for x
    x = 6,568,352,808.89/36,948.75
  6. Step 6: Final answer
    x = 177,769.28

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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.