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Finding the Third Proportional to 28,202 and 43,922

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Solution

The third proportional to 28,202 and 43,922 is: 68,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,202 : 43,922 = 43,922 : x
  2. Step 2: Convert to fraction form
    28,202/43,922 = 43,922/x
  3. Step 3: Cross multiply
    28,202x = 43,922 × 43,922
  4. Step 4: Simplify right side
    28,202x = 1,929,142,084
  5. Step 5: Solve for x
    x = 1,929,142,084/28,202
  6. Step 6: Final answer
    x = 68,404.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.