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Finding the Third Proportional to 4,319.16 and 6,340.78

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Solution

The third proportional to 4,319.16 and 6,340.78 is: 9,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319.16 : 6,340.78 = 6,340.78 : x
  2. Step 2: Convert to fraction form
    4,319.16/6,340.78 = 6,340.78/x
  3. Step 3: Cross multiply
    4,319.16x = 6,340.78 × 6,340.78
  4. Step 4: Simplify right side
    4,319.16x = 40,205,506.86
  5. Step 5: Solve for x
    x = 40,205,506.86/4,319.16
  6. Step 6: Final answer
    x = 9,308.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.