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Finding the Third Proportional to 21,990 and 53,151

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Solution

The third proportional to 21,990 and 53,151 is: 128,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,990 : 53,151 = 53,151 : x
  2. Step 2: Convert to fraction form
    21,990/53,151 = 53,151/x
  3. Step 3: Cross multiply
    21,990x = 53,151 × 53,151
  4. Step 4: Simplify right side
    21,990x = 2,825,028,801
  5. Step 5: Solve for x
    x = 2,825,028,801/21,990
  6. Step 6: Final answer
    x = 128,468.79

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.