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Finding the Third Proportional to 10,967 and 24,121

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Solution

The third proportional to 10,967 and 24,121 is: 53,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967 : 24,121 = 24,121 : x
  2. Step 2: Convert to fraction form
    10,967/24,121 = 24,121/x
  3. Step 3: Cross multiply
    10,967x = 24,121 × 24,121
  4. Step 4: Simplify right side
    10,967x = 581,822,641
  5. Step 5: Solve for x
    x = 581,822,641/10,967
  6. Step 6: Final answer
    x = 53,052.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.