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Finding the Third Proportional to 6,494.34 and 9,844.03

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Solution

The third proportional to 6,494.34 and 9,844.03 is: 14,921.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.34 : 9,844.03 = 9,844.03 : x
  2. Step 2: Convert to fraction form
    6,494.34/9,844.03 = 9,844.03/x
  3. Step 3: Cross multiply
    6,494.34x = 9,844.03 × 9,844.03
  4. Step 4: Simplify right side
    6,494.34x = 96,904,951.25
  5. Step 5: Solve for x
    x = 96,904,951.25/6,494.34
  6. Step 6: Final answer
    x = 14,921.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.