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Finding the Third Proportional to 6,343.31 and 7,295.06

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Solution

The third proportional to 6,343.31 and 7,295.06 is: 8,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.31 : 7,295.06 = 7,295.06 : x
  2. Step 2: Convert to fraction form
    6,343.31/7,295.06 = 7,295.06/x
  3. Step 3: Cross multiply
    6,343.31x = 7,295.06 × 7,295.06
  4. Step 4: Simplify right side
    6,343.31x = 53,217,936.88
  5. Step 5: Solve for x
    x = 53,217,936.88/6,343.31
  6. Step 6: Final answer
    x = 8,389.61

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.