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Finding the Third Proportional to 15,986 and 25,538

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Solution

The third proportional to 15,986 and 25,538 is: 40,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986 : 25,538 = 25,538 : x
  2. Step 2: Convert to fraction form
    15,986/25,538 = 25,538/x
  3. Step 3: Cross multiply
    15,986x = 25,538 × 25,538
  4. Step 4: Simplify right side
    15,986x = 652,189,444
  5. Step 5: Solve for x
    x = 652,189,444/15,986
  6. Step 6: Final answer
    x = 40,797.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.