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Finding the Third Proportional to 21,902 and 33,510

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Solution

The third proportional to 21,902 and 33,510 is: 51,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902 : 33,510 = 33,510 : x
  2. Step 2: Convert to fraction form
    21,902/33,510 = 33,510/x
  3. Step 3: Cross multiply
    21,902x = 33,510 × 33,510
  4. Step 4: Simplify right side
    21,902x = 1,122,920,100
  5. Step 5: Solve for x
    x = 1,122,920,100/21,902
  6. Step 6: Final answer
    x = 51,270.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.