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Finding the Third Proportional to 5,512.69 and 8,320.31

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Solution

The third proportional to 5,512.69 and 8,320.31 is: 12,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512.69 : 8,320.31 = 8,320.31 : x
  2. Step 2: Convert to fraction form
    5,512.69/8,320.31 = 8,320.31/x
  3. Step 3: Cross multiply
    5,512.69x = 8,320.31 × 8,320.31
  4. Step 4: Simplify right side
    5,512.69x = 69,227,600.10
  5. Step 5: Solve for x
    x = 69,227,600.10/5,512.69
  6. Step 6: Final answer
    x = 12,557.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.