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Finding the Third Proportional to 9,649.13 and 11,102.06

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Solution

The third proportional to 9,649.13 and 11,102.06 is: 12,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.13 : 11,102.06 = 11,102.06 : x
  2. Step 2: Convert to fraction form
    9,649.13/11,102.06 = 11,102.06/x
  3. Step 3: Cross multiply
    9,649.13x = 11,102.06 × 11,102.06
  4. Step 4: Simplify right side
    9,649.13x = 123,255,791.75
  5. Step 5: Solve for x
    x = 123,255,791.75/9,649.13
  6. Step 6: Final answer
    x = 12,773.78

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.