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Finding the Third Proportional to 3,318.47 and 4,310.72

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Solution

The third proportional to 3,318.47 and 4,310.72 is: 5,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.47 : 4,310.72 = 4,310.72 : x
  2. Step 2: Convert to fraction form
    3,318.47/4,310.72 = 4,310.72/x
  3. Step 3: Cross multiply
    3,318.47x = 4,310.72 × 4,310.72
  4. Step 4: Simplify right side
    3,318.47x = 18,582,296.14
  5. Step 5: Solve for x
    x = 18,582,296.14/3,318.47
  6. Step 6: Final answer
    x = 5,599.66

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.