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Finding the Third Proportional to 6,397.31 and 11,102.06

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Solution

The third proportional to 6,397.31 and 11,102.06 is: 19,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.31 : 11,102.06 = 11,102.06 : x
  2. Step 2: Convert to fraction form
    6,397.31/11,102.06 = 11,102.06/x
  3. Step 3: Cross multiply
    6,397.31x = 11,102.06 × 11,102.06
  4. Step 4: Simplify right side
    6,397.31x = 123,255,791.75
  5. Step 5: Solve for x
    x = 123,255,791.75/6,397.31
  6. Step 6: Final answer
    x = 19,266.81

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.