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Finding the Third Proportional to 11,170 and 24,068

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Solution

The third proportional to 11,170 and 24,068 is: 51,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170 : 24,068 = 24,068 : x
  2. Step 2: Convert to fraction form
    11,170/24,068 = 24,068/x
  3. Step 3: Cross multiply
    11,170x = 24,068 × 24,068
  4. Step 4: Simplify right side
    11,170x = 579,268,624
  5. Step 5: Solve for x
    x = 579,268,624/11,170
  6. Step 6: Final answer
    x = 51,859.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.