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Finding the Third Proportional to 21,986 and 48,328

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Solution

The third proportional to 21,986 and 48,328 is: 106,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986 : 48,328 = 48,328 : x
  2. Step 2: Convert to fraction form
    21,986/48,328 = 48,328/x
  3. Step 3: Cross multiply
    21,986x = 48,328 × 48,328
  4. Step 4: Simplify right side
    21,986x = 2,335,595,584
  5. Step 5: Solve for x
    x = 2,335,595,584/21,986
  6. Step 6: Final answer
    x = 106,231.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.