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Finding the Third Proportional to 15,211.97 and 23,396.34

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Solution

The third proportional to 15,211.97 and 23,396.34 is: 35,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.97 : 23,396.34 = 23,396.34 : x
  2. Step 2: Convert to fraction form
    15,211.97/23,396.34 = 23,396.34/x
  3. Step 3: Cross multiply
    15,211.97x = 23,396.34 × 23,396.34
  4. Step 4: Simplify right side
    15,211.97x = 547,388,900.87
  5. Step 5: Solve for x
    x = 547,388,900.87/15,211.97
  6. Step 6: Final answer
    x = 35,984.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.