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Finding the Third Proportional to 20,758 and 32,196

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Solution

The third proportional to 20,758 and 32,196 is: 49,936.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,758 : 32,196 = 32,196 : x
  2. Step 2: Convert to fraction form
    20,758/32,196 = 32,196/x
  3. Step 3: Cross multiply
    20,758x = 32,196 × 32,196
  4. Step 4: Simplify right side
    20,758x = 1,036,582,416
  5. Step 5: Solve for x
    x = 1,036,582,416/20,758
  6. Step 6: Final answer
    x = 49,936.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.