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Finding the Third Proportional to 4,003.80 and 6,432.86

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Solution

The third proportional to 4,003.80 and 6,432.86 is: 10,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.80 : 6,432.86 = 6,432.86 : x
  2. Step 2: Convert to fraction form
    4,003.80/6,432.86 = 6,432.86/x
  3. Step 3: Cross multiply
    4,003.80x = 6,432.86 × 6,432.86
  4. Step 4: Simplify right side
    4,003.80x = 41,381,629.48
  5. Step 5: Solve for x
    x = 41,381,629.48/4,003.80
  6. Step 6: Final answer
    x = 10,335.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.