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Finding the Third Proportional to 11,053.13 and 16,822.69

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Solution

The third proportional to 11,053.13 and 16,822.69 is: 25,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.13 : 16,822.69 = 16,822.69 : x
  2. Step 2: Convert to fraction form
    11,053.13/16,822.69 = 16,822.69/x
  3. Step 3: Cross multiply
    11,053.13x = 16,822.69 × 16,822.69
  4. Step 4: Simplify right side
    11,053.13x = 283,002,814.72
  5. Step 5: Solve for x
    x = 283,002,814.72/11,053.13
  6. Step 6: Final answer
    x = 25,603.87

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