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Finding the Third Proportional to 11,105 and 24,055

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Solution

The third proportional to 11,105 and 24,055 is: 52,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105 : 24,055 = 24,055 : x
  2. Step 2: Convert to fraction form
    11,105/24,055 = 24,055/x
  3. Step 3: Cross multiply
    11,105x = 24,055 × 24,055
  4. Step 4: Simplify right side
    11,105x = 578,643,025
  5. Step 5: Solve for x
    x = 578,643,025/11,105
  6. Step 6: Final answer
    x = 52,106.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.