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Finding the Third Proportional to 24,077 and 52,822

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Solution

The third proportional to 24,077 and 52,822 is: 115,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,077 : 52,822 = 52,822 : x
  2. Step 2: Convert to fraction form
    24,077/52,822 = 52,822/x
  3. Step 3: Cross multiply
    24,077x = 52,822 × 52,822
  4. Step 4: Simplify right side
    24,077x = 2,790,163,684
  5. Step 5: Solve for x
    x = 2,790,163,684/24,077
  6. Step 6: Final answer
    x = 115,885.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.