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Finding the Third Proportional to 21,395 and 33,259

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Solution

The third proportional to 21,395 and 33,259 is: 51,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,395 : 33,259 = 33,259 : x
  2. Step 2: Convert to fraction form
    21,395/33,259 = 33,259/x
  3. Step 3: Cross multiply
    21,395x = 33,259 × 33,259
  4. Step 4: Simplify right side
    21,395x = 1,106,161,081
  5. Step 5: Solve for x
    x = 1,106,161,081/21,395
  6. Step 6: Final answer
    x = 51,701.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.