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Finding the Third Proportional to 4,068.59 and 6,340.78

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Solution

The third proportional to 4,068.59 and 6,340.78 is: 9,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.59 : 6,340.78 = 6,340.78 : x
  2. Step 2: Convert to fraction form
    4,068.59/6,340.78 = 6,340.78/x
  3. Step 3: Cross multiply
    4,068.59x = 6,340.78 × 6,340.78
  4. Step 4: Simplify right side
    4,068.59x = 40,205,506.86
  5. Step 5: Solve for x
    x = 40,205,506.86/4,068.59
  6. Step 6: Final answer
    x = 9,881.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.