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Finding the Third Proportional to 4,149.86 and 6,256.21

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Solution

The third proportional to 4,149.86 and 6,256.21 is: 9,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.86 : 6,256.21 = 6,256.21 : x
  2. Step 2: Convert to fraction form
    4,149.86/6,256.21 = 6,256.21/x
  3. Step 3: Cross multiply
    4,149.86x = 6,256.21 × 6,256.21
  4. Step 4: Simplify right side
    4,149.86x = 39,140,116.39
  5. Step 5: Solve for x
    x = 39,140,116.39/4,149.86
  6. Step 6: Final answer
    x = 9,431.68

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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.