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Finding the Third Proportional to 2,567.67 and 5,524.45

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Solution

The third proportional to 2,567.67 and 5,524.45 is: 11,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.67 : 5,524.45 = 5,524.45 : x
  2. Step 2: Convert to fraction form
    2,567.67/5,524.45 = 5,524.45/x
  3. Step 3: Cross multiply
    2,567.67x = 5,524.45 × 5,524.45
  4. Step 4: Simplify right side
    2,567.67x = 30,519,582.33
  5. Step 5: Solve for x
    x = 30,519,582.33/2,567.67
  6. Step 6: Final answer
    x = 11,886.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.