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Finding the Third Proportional to 7,291.69 and 13,650.19

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Solution

The third proportional to 7,291.69 and 13,650.19 is: 25,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.69 : 13,650.19 = 13,650.19 : x
  2. Step 2: Convert to fraction form
    7,291.69/13,650.19 = 13,650.19/x
  3. Step 3: Cross multiply
    7,291.69x = 13,650.19 × 13,650.19
  4. Step 4: Simplify right side
    7,291.69x = 186,327,618.79
  5. Step 5: Solve for x
    x = 186,327,618.79/7,291.69
  6. Step 6: Final answer
    x = 25,553.43

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.