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Finding the Third Proportional to 20,344 and 32,154

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Solution

The third proportional to 20,344 and 32,154 is: 50,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,344 : 32,154 = 32,154 : x
  2. Step 2: Convert to fraction form
    20,344/32,154 = 32,154/x
  3. Step 3: Cross multiply
    20,344x = 32,154 × 32,154
  4. Step 4: Simplify right side
    20,344x = 1,033,879,716
  5. Step 5: Solve for x
    x = 1,033,879,716/20,344
  6. Step 6: Final answer
    x = 50,819.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.