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Finding the Third Proportional to 6,910.31 and 14,963.06

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Solution

The third proportional to 6,910.31 and 14,963.06 is: 32,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.31 : 14,963.06 = 14,963.06 : x
  2. Step 2: Convert to fraction form
    6,910.31/14,963.06 = 14,963.06/x
  3. Step 3: Cross multiply
    6,910.31x = 14,963.06 × 14,963.06
  4. Step 4: Simplify right side
    6,910.31x = 223,893,239.38
  5. Step 5: Solve for x
    x = 223,893,239.38/6,910.31
  6. Step 6: Final answer
    x = 32,399.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.