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Finding the Third Proportional to 15,986 and 25,025

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Solution

The third proportional to 15,986 and 25,025 is: 39,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986 : 25,025 = 25,025 : x
  2. Step 2: Convert to fraction form
    15,986/25,025 = 25,025/x
  3. Step 3: Cross multiply
    15,986x = 25,025 × 25,025
  4. Step 4: Simplify right side
    15,986x = 626,250,625
  5. Step 5: Solve for x
    x = 626,250,625/15,986
  6. Step 6: Final answer
    x = 39,174.94

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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.