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Finding the Third Proportional to 5,694.75 and 12,486.38

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Solution

The third proportional to 5,694.75 and 12,486.38 is: 27,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.75 : 12,486.38 = 12,486.38 : x
  2. Step 2: Convert to fraction form
    5,694.75/12,486.38 = 12,486.38/x
  3. Step 3: Cross multiply
    5,694.75x = 12,486.38 × 12,486.38
  4. Step 4: Simplify right side
    5,694.75x = 155,909,560.64
  5. Step 5: Solve for x
    x = 155,909,560.64/5,694.75
  6. Step 6: Final answer
    x = 27,377.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.