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Finding the Third Proportional to 10,452 and 22,479

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Solution

The third proportional to 10,452 and 22,479 is: 48,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452 : 22,479 = 22,479 : x
  2. Step 2: Convert to fraction form
    10,452/22,479 = 22,479/x
  3. Step 3: Cross multiply
    10,452x = 22,479 × 22,479
  4. Step 4: Simplify right side
    10,452x = 505,305,441
  5. Step 5: Solve for x
    x = 505,305,441/10,452
  6. Step 6: Final answer
    x = 48,345.33

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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.