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Finding the Third Proportional to 15,986.25 and 25,077.66

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Solution

The third proportional to 15,986.25 and 25,077.66 is: 39,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986.25 : 25,077.66 = 25,077.66 : x
  2. Step 2: Convert to fraction form
    15,986.25/25,077.66 = 25,077.66/x
  3. Step 3: Cross multiply
    15,986.25x = 25,077.66 × 25,077.66
  4. Step 4: Simplify right side
    15,986.25x = 628,888,842.99
  5. Step 5: Solve for x
    x = 628,888,842.99/15,986.25
  6. Step 6: Final answer
    x = 39,339.36

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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.