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Finding the Third Proportional to 6,378.75 and 8,150.63

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Solution

The third proportional to 6,378.75 and 8,150.63 is: 10,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.75 : 8,150.63 = 8,150.63 : x
  2. Step 2: Convert to fraction form
    6,378.75/8,150.63 = 8,150.63/x
  3. Step 3: Cross multiply
    6,378.75x = 8,150.63 × 8,150.63
  4. Step 4: Simplify right side
    6,378.75x = 66,432,687.89
  5. Step 5: Solve for x
    x = 66,432,687.89/6,378.75
  6. Step 6: Final answer
    x = 10,414.69

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.