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Finding the Third Proportional to 10,081.13 and 15,396.75

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Solution

The third proportional to 10,081.13 and 15,396.75 is: 23,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.13 : 15,396.75 = 15,396.75 : x
  2. Step 2: Convert to fraction form
    10,081.13/15,396.75 = 15,396.75/x
  3. Step 3: Cross multiply
    10,081.13x = 15,396.75 × 15,396.75
  4. Step 4: Simplify right side
    10,081.13x = 237,059,910.56
  5. Step 5: Solve for x
    x = 237,059,910.56/10,081.13
  6. Step 6: Final answer
    x = 23,515.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.