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Finding the Third Proportional to 2,486.81 and 5,452.03

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Solution

The third proportional to 2,486.81 and 5,452.03 is: 11,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.81 : 5,452.03 = 5,452.03 : x
  2. Step 2: Convert to fraction form
    2,486.81/5,452.03 = 5,452.03/x
  3. Step 3: Cross multiply
    2,486.81x = 5,452.03 × 5,452.03
  4. Step 4: Simplify right side
    2,486.81x = 29,724,644.75
  5. Step 5: Solve for x
    x = 29,724,644.75/2,486.81
  6. Step 6: Final answer
    x = 11,952.91

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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.