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Finding the Third Proportional to 12,774.38 and 27,491.06

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Solution

The third proportional to 12,774.38 and 27,491.06 is: 59,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.38 : 27,491.06 = 27,491.06 : x
  2. Step 2: Convert to fraction form
    12,774.38/27,491.06 = 27,491.06/x
  3. Step 3: Cross multiply
    12,774.38x = 27,491.06 × 27,491.06
  4. Step 4: Simplify right side
    12,774.38x = 755,758,517.38
  5. Step 5: Solve for x
    x = 755,758,517.38/12,774.38
  6. Step 6: Final answer
    x = 59,162.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.