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Finding the Third Proportional to 17,851 and 33,060

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Solution

The third proportional to 17,851 and 33,060 is: 61,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851 : 33,060 = 33,060 : x
  2. Step 2: Convert to fraction form
    17,851/33,060 = 33,060/x
  3. Step 3: Cross multiply
    17,851x = 33,060 × 33,060
  4. Step 4: Simplify right side
    17,851x = 1,092,963,600
  5. Step 5: Solve for x
    x = 1,092,963,600/17,851
  6. Step 6: Final answer
    x = 61,227.02

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.