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Finding the Third Proportional to 11,014 and 24,482

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Solution

The third proportional to 11,014 and 24,482 is: 54,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014 : 24,482 = 24,482 : x
  2. Step 2: Convert to fraction form
    11,014/24,482 = 24,482/x
  3. Step 3: Cross multiply
    11,014x = 24,482 × 24,482
  4. Step 4: Simplify right side
    11,014x = 599,368,324
  5. Step 5: Solve for x
    x = 599,368,324/11,014
  6. Step 6: Final answer
    x = 54,418.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.