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Finding the Third Proportional to 11,102.06 and 17,200.69

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Solution

The third proportional to 11,102.06 and 17,200.69 is: 26,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.06 : 17,200.69 = 17,200.69 : x
  2. Step 2: Convert to fraction form
    11,102.06/17,200.69 = 17,200.69/x
  3. Step 3: Cross multiply
    11,102.06x = 17,200.69 × 17,200.69
  4. Step 4: Simplify right side
    11,102.06x = 295,863,650.47
  5. Step 5: Solve for x
    x = 295,863,650.47/11,102.06
  6. Step 6: Final answer
    x = 26,649.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.