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Finding the Third Proportional to 11,108.25 and 24,267.38

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Solution

The third proportional to 11,108.25 and 24,267.38 is: 53,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,108.25 : 24,267.38 = 24,267.38 : x
  2. Step 2: Convert to fraction form
    11,108.25/24,267.38 = 24,267.38/x
  3. Step 3: Cross multiply
    11,108.25x = 24,267.38 × 24,267.38
  4. Step 4: Simplify right side
    11,108.25x = 588,905,489.39
  5. Step 5: Solve for x
    x = 588,905,489.39/11,108.25
  6. Step 6: Final answer
    x = 53,015.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.