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Finding the Third Proportional to 5,814.56 and 12,121.13

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Solution

The third proportional to 5,814.56 and 12,121.13 is: 25,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.56 : 12,121.13 = 12,121.13 : x
  2. Step 2: Convert to fraction form
    5,814.56/12,121.13 = 12,121.13/x
  3. Step 3: Cross multiply
    5,814.56x = 12,121.13 × 12,121.13
  4. Step 4: Simplify right side
    5,814.56x = 146,921,671.27
  5. Step 5: Solve for x
    x = 146,921,671.27/5,814.56
  6. Step 6: Final answer
    x = 25,267.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.