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Finding the Third Proportional to 6,634.13 and 11,010.38

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Solution

The third proportional to 6,634.13 and 11,010.38 is: 18,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.13 : 11,010.38 = 11,010.38 : x
  2. Step 2: Convert to fraction form
    6,634.13/11,010.38 = 11,010.38/x
  3. Step 3: Cross multiply
    6,634.13x = 11,010.38 × 11,010.38
  4. Step 4: Simplify right side
    6,634.13x = 121,228,357.64
  5. Step 5: Solve for x
    x = 121,228,357.64/6,634.13
  6. Step 6: Final answer
    x = 18,273.45

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.