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Finding the Third Proportional to 2,384.44 and 5,121.56

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Solution

The third proportional to 2,384.44 and 5,121.56 is: 11,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.44 : 5,121.56 = 5,121.56 : x
  2. Step 2: Convert to fraction form
    2,384.44/5,121.56 = 5,121.56/x
  3. Step 3: Cross multiply
    2,384.44x = 5,121.56 × 5,121.56
  4. Step 4: Simplify right side
    2,384.44x = 26,230,402.44
  5. Step 5: Solve for x
    x = 26,230,402.44/2,384.44
  6. Step 6: Final answer
    x = 11,000.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.