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Finding the Third Proportional to 20,196 and 43,478

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Solution

The third proportional to 20,196 and 43,478 is: 93,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196 : 43,478 = 43,478 : x
  2. Step 2: Convert to fraction form
    20,196/43,478 = 43,478/x
  3. Step 3: Cross multiply
    20,196x = 43,478 × 43,478
  4. Step 4: Simplify right side
    20,196x = 1,890,336,484
  5. Step 5: Solve for x
    x = 1,890,336,484/20,196
  6. Step 6: Final answer
    x = 93,599.55

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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.