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Finding the Third Proportional to 27,226.13 and 38,697.75

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Solution

The third proportional to 27,226.13 and 38,697.75 is: 55,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,226.13 : 38,697.75 = 38,697.75 : x
  2. Step 2: Convert to fraction form
    27,226.13/38,697.75 = 38,697.75/x
  3. Step 3: Cross multiply
    27,226.13x = 38,697.75 × 38,697.75
  4. Step 4: Simplify right side
    27,226.13x = 1,497,515,855.06
  5. Step 5: Solve for x
    x = 1,497,515,855.06/27,226.13
  6. Step 6: Final answer
    x = 55,002.90

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.