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Finding the Third Proportional to 21,532 and 33,251

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Solution

The third proportional to 21,532 and 33,251 is: 51,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532 : 33,251 = 33,251 : x
  2. Step 2: Convert to fraction form
    21,532/33,251 = 33,251/x
  3. Step 3: Cross multiply
    21,532x = 33,251 × 33,251
  4. Step 4: Simplify right side
    21,532x = 1,105,629,001
  5. Step 5: Solve for x
    x = 1,105,629,001/21,532
  6. Step 6: Final answer
    x = 51,348.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.