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Finding the Third Proportional to 2,472.19 and 5,221.69

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Solution

The third proportional to 2,472.19 and 5,221.69 is: 11,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.19 : 5,221.69 = 5,221.69 : x
  2. Step 2: Convert to fraction form
    2,472.19/5,221.69 = 5,221.69/x
  3. Step 3: Cross multiply
    2,472.19x = 5,221.69 × 5,221.69
  4. Step 4: Simplify right side
    2,472.19x = 27,266,020.35
  5. Step 5: Solve for x
    x = 27,266,020.35/2,472.19
  6. Step 6: Final answer
    x = 11,029.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.