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Finding the Third Proportional to 15,989 and 25,027

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Solution

The third proportional to 15,989 and 25,027 is: 39,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,989 : 25,027 = 25,027 : x
  2. Step 2: Convert to fraction form
    15,989/25,027 = 25,027/x
  3. Step 3: Cross multiply
    15,989x = 25,027 × 25,027
  4. Step 4: Simplify right side
    15,989x = 626,350,729
  5. Step 5: Solve for x
    x = 626,350,729/15,989
  6. Step 6: Final answer
    x = 39,173.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.