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Finding the Third Proportional to 15,977 and 25,012

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Solution

The third proportional to 15,977 and 25,012 is: 39,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977 : 25,012 = 25,012 : x
  2. Step 2: Convert to fraction form
    15,977/25,012 = 25,012/x
  3. Step 3: Cross multiply
    15,977x = 25,012 × 25,012
  4. Step 4: Simplify right side
    15,977x = 625,600,144
  5. Step 5: Solve for x
    x = 625,600,144/15,977
  6. Step 6: Final answer
    x = 39,156.30

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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.