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Finding the Third Proportional to 27,064.13 and 38,135.81

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Solution

The third proportional to 27,064.13 and 38,135.81 is: 53,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.13 : 38,135.81 = 38,135.81 : x
  2. Step 2: Convert to fraction form
    27,064.13/38,135.81 = 38,135.81/x
  3. Step 3: Cross multiply
    27,064.13x = 38,135.81 × 38,135.81
  4. Step 4: Simplify right side
    27,064.13x = 1,454,340,195.04
  5. Step 5: Solve for x
    x = 1,454,340,195.04/27,064.13
  6. Step 6: Final answer
    x = 53,736.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.