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Finding the Third Proportional to 15,722 and 33,893

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Solution

The third proportional to 15,722 and 33,893 is: 73,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722 : 33,893 = 33,893 : x
  2. Step 2: Convert to fraction form
    15,722/33,893 = 33,893/x
  3. Step 3: Cross multiply
    15,722x = 33,893 × 33,893
  4. Step 4: Simplify right side
    15,722x = 1,148,735,449
  5. Step 5: Solve for x
    x = 1,148,735,449/15,722
  6. Step 6: Final answer
    x = 73,065.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.