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Finding the Third Proportional to 5,472.38 and 11,415.75

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Solution

The third proportional to 5,472.38 and 11,415.75 is: 23,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.38 : 11,415.75 = 11,415.75 : x
  2. Step 2: Convert to fraction form
    5,472.38/11,415.75 = 11,415.75/x
  3. Step 3: Cross multiply
    5,472.38x = 11,415.75 × 11,415.75
  4. Step 4: Simplify right side
    5,472.38x = 130,319,348.06
  5. Step 5: Solve for x
    x = 130,319,348.06/5,472.38
  6. Step 6: Final answer
    x = 23,814.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.