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Finding the Third Proportional to 20,782 and 44,482

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Solution

The third proportional to 20,782 and 44,482 is: 95,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782 : 44,482 = 44,482 : x
  2. Step 2: Convert to fraction form
    20,782/44,482 = 44,482/x
  3. Step 3: Cross multiply
    20,782x = 44,482 × 44,482
  4. Step 4: Simplify right side
    20,782x = 1,978,648,324
  5. Step 5: Solve for x
    x = 1,978,648,324/20,782
  6. Step 6: Final answer
    x = 95,209.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.