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Finding the Third Proportional to 15,815.25 and 23,679

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Solution

The third proportional to 15,815.25 and 23,679 is: 35,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.25 : 23,679 = 23,679 : x
  2. Step 2: Convert to fraction form
    15,815.25/23,679 = 23,679/x
  3. Step 3: Cross multiply
    15,815.25x = 23,679 × 23,679
  4. Step 4: Simplify right side
    15,815.25x = 560,695,041
  5. Step 5: Solve for x
    x = 560,695,041/15,815.25
  6. Step 6: Final answer
    x = 35,452.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.