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Finding the Third Proportional to 10,396.83 and 15,224.91

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Solution

The third proportional to 10,396.83 and 15,224.91 is: 22,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.83 : 15,224.91 = 15,224.91 : x
  2. Step 2: Convert to fraction form
    10,396.83/15,224.91 = 15,224.91/x
  3. Step 3: Cross multiply
    10,396.83x = 15,224.91 × 15,224.91
  4. Step 4: Simplify right side
    10,396.83x = 231,797,770.32
  5. Step 5: Solve for x
    x = 231,797,770.32/10,396.83
  6. Step 6: Final answer
    x = 22,295.05

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.