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Finding the Third Proportional to 27,911.25 and 40,834.13

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Solution

The third proportional to 27,911.25 and 40,834.13 is: 59,740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.25 : 40,834.13 = 40,834.13 : x
  2. Step 2: Convert to fraction form
    27,911.25/40,834.13 = 40,834.13/x
  3. Step 3: Cross multiply
    27,911.25x = 40,834.13 × 40,834.13
  4. Step 4: Simplify right side
    27,911.25x = 1,667,425,764.52
  5. Step 5: Solve for x
    x = 1,667,425,764.52/27,911.25
  6. Step 6: Final answer
    x = 59,740.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.