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Finding the Third Proportional to 5,412.38 and 11,688.75

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Solution

The third proportional to 5,412.38 and 11,688.75 is: 25,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.38 : 11,688.75 = 11,688.75 : x
  2. Step 2: Convert to fraction form
    5,412.38/11,688.75 = 11,688.75/x
  3. Step 3: Cross multiply
    5,412.38x = 11,688.75 × 11,688.75
  4. Step 4: Simplify right side
    5,412.38x = 136,626,876.56
  5. Step 5: Solve for x
    x = 136,626,876.56/5,412.38
  6. Step 6: Final answer
    x = 25,243.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.