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Finding the Third Proportional to 3,592.31 and 5,251.69

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Solution

The third proportional to 3,592.31 and 5,251.69 is: 7,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.31 : 5,251.69 = 5,251.69 : x
  2. Step 2: Convert to fraction form
    3,592.31/5,251.69 = 5,251.69/x
  3. Step 3: Cross multiply
    3,592.31x = 5,251.69 × 5,251.69
  4. Step 4: Simplify right side
    3,592.31x = 27,580,221.60
  5. Step 5: Solve for x
    x = 27,580,221.60/3,592.31
  6. Step 6: Final answer
    x = 7,677.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.