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Finding the Third Proportional to 21,976 and 48,326

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Solution

The third proportional to 21,976 and 48,326 is: 106,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976 : 48,326 = 48,326 : x
  2. Step 2: Convert to fraction form
    21,976/48,326 = 48,326/x
  3. Step 3: Cross multiply
    21,976x = 48,326 × 48,326
  4. Step 4: Simplify right side
    21,976x = 2,335,402,276
  5. Step 5: Solve for x
    x = 2,335,402,276/21,976
  6. Step 6: Final answer
    x = 106,270.58

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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.