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Finding the Third Proportional to 24,530 and 51,920

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Solution

The third proportional to 24,530 and 51,920 is: 109,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530 : 51,920 = 51,920 : x
  2. Step 2: Convert to fraction form
    24,530/51,920 = 51,920/x
  3. Step 3: Cross multiply
    24,530x = 51,920 × 51,920
  4. Step 4: Simplify right side
    24,530x = 2,695,686,400
  5. Step 5: Solve for x
    x = 2,695,686,400/24,530
  6. Step 6: Final answer
    x = 109,893.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.