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Finding the Third Proportional to 15,541 and 33,721

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Solution

The third proportional to 15,541 and 33,721 is: 73,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,541 : 33,721 = 33,721 : x
  2. Step 2: Convert to fraction form
    15,541/33,721 = 33,721/x
  3. Step 3: Cross multiply
    15,541x = 33,721 × 33,721
  4. Step 4: Simplify right side
    15,541x = 1,137,105,841
  5. Step 5: Solve for x
    x = 1,137,105,841/15,541
  6. Step 6: Final answer
    x = 73,168.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.