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Finding the Third Proportional to 2,384.56 and 5,179.69

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Solution

The third proportional to 2,384.56 and 5,179.69 is: 11,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.56 : 5,179.69 = 5,179.69 : x
  2. Step 2: Convert to fraction form
    2,384.56/5,179.69 = 5,179.69/x
  3. Step 3: Cross multiply
    2,384.56x = 5,179.69 × 5,179.69
  4. Step 4: Simplify right side
    2,384.56x = 26,829,162.60
  5. Step 5: Solve for x
    x = 26,829,162.60/2,384.56
  6. Step 6: Final answer
    x = 11,251.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.