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Finding the Third Proportional to 6,343.31 and 14,463.56

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Solution

The third proportional to 6,343.31 and 14,463.56 is: 32,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.31 : 14,463.56 = 14,463.56 : x
  2. Step 2: Convert to fraction form
    6,343.31/14,463.56 = 14,463.56/x
  3. Step 3: Cross multiply
    6,343.31x = 14,463.56 × 14,463.56
  4. Step 4: Simplify right side
    6,343.31x = 209,194,640.19
  5. Step 5: Solve for x
    x = 209,194,640.19/6,343.31
  6. Step 6: Final answer
    x = 32,978.77

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.