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Finding the Third Proportional to 4,146.75 and 6,432.75

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Solution

The third proportional to 4,146.75 and 6,432.75 is: 9,978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.75 : 6,432.75 = 6,432.75 : x
  2. Step 2: Convert to fraction form
    4,146.75/6,432.75 = 6,432.75/x
  3. Step 3: Cross multiply
    4,146.75x = 6,432.75 × 6,432.75
  4. Step 4: Simplify right side
    4,146.75x = 41,380,272.56
  5. Step 5: Solve for x
    x = 41,380,272.56/4,146.75
  6. Step 6: Final answer
    x = 9,978.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.