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Finding the Third Proportional to 2,913.38 and 6,344.06

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Solution

The third proportional to 2,913.38 and 6,344.06 is: 13,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.38 : 6,344.06 = 6,344.06 : x
  2. Step 2: Convert to fraction form
    2,913.38/6,344.06 = 6,344.06/x
  3. Step 3: Cross multiply
    2,913.38x = 6,344.06 × 6,344.06
  4. Step 4: Simplify right side
    2,913.38x = 40,247,129.00
  5. Step 5: Solve for x
    x = 40,247,129.00/2,913.38
  6. Step 6: Final answer
    x = 13,814.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.