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Finding the Third Proportional to 15,974.25 and 25,008

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Solution

The third proportional to 15,974.25 and 25,008 is: 39,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,974.25 : 25,008 = 25,008 : x
  2. Step 2: Convert to fraction form
    15,974.25/25,008 = 25,008/x
  3. Step 3: Cross multiply
    15,974.25x = 25,008 × 25,008
  4. Step 4: Simplify right side
    15,974.25x = 625,400,064
  5. Step 5: Solve for x
    x = 625,400,064/15,974.25
  6. Step 6: Final answer
    x = 39,150.51

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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.