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Finding the Third Proportional to 15,384.38 and 36,296.44

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Solution

The third proportional to 15,384.38 and 36,296.44 is: 85,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.38 : 36,296.44 = 36,296.44 : x
  2. Step 2: Convert to fraction form
    15,384.38/36,296.44 = 36,296.44/x
  3. Step 3: Cross multiply
    15,384.38x = 36,296.44 × 36,296.44
  4. Step 4: Simplify right side
    15,384.38x = 1,317,431,375.19
  5. Step 5: Solve for x
    x = 1,317,431,375.19/15,384.38
  6. Step 6: Final answer
    x = 85,634.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.