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Finding the Third Proportional to 13,474.50 and 27,814.13

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Solution

The third proportional to 13,474.50 and 27,814.13 is: 57,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.50 : 27,814.13 = 27,814.13 : x
  2. Step 2: Convert to fraction form
    13,474.50/27,814.13 = 27,814.13/x
  3. Step 3: Cross multiply
    13,474.50x = 27,814.13 × 27,814.13
  4. Step 4: Simplify right side
    13,474.50x = 773,625,549.52
  5. Step 5: Solve for x
    x = 773,625,549.52/13,474.50
  6. Step 6: Final answer
    x = 57,414.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.