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Finding the Third Proportional to 15,945 and 32,538

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Solution

The third proportional to 15,945 and 32,538 is: 66,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,945 : 32,538 = 32,538 : x
  2. Step 2: Convert to fraction form
    15,945/32,538 = 32,538/x
  3. Step 3: Cross multiply
    15,945x = 32,538 × 32,538
  4. Step 4: Simplify right side
    15,945x = 1,058,721,444
  5. Step 5: Solve for x
    x = 1,058,721,444/15,945
  6. Step 6: Final answer
    x = 66,398.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.