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Finding the Third Proportional to 12,506.91 and 27,234.98

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Solution

The third proportional to 12,506.91 and 27,234.98 is: 59,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.91 : 27,234.98 = 27,234.98 : x
  2. Step 2: Convert to fraction form
    12,506.91/27,234.98 = 27,234.98/x
  3. Step 3: Cross multiply
    12,506.91x = 27,234.98 × 27,234.98
  4. Step 4: Simplify right side
    12,506.91x = 741,744,373.91
  5. Step 5: Solve for x
    x = 741,744,373.91/12,506.91
  6. Step 6: Final answer
    x = 59,306.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.