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Finding the Third Proportional to 4,511.06 and 9,789.56

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Solution

The third proportional to 4,511.06 and 9,789.56 is: 21,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.06 : 9,789.56 = 9,789.56 : x
  2. Step 2: Convert to fraction form
    4,511.06/9,789.56 = 9,789.56/x
  3. Step 3: Cross multiply
    4,511.06x = 9,789.56 × 9,789.56
  4. Step 4: Simplify right side
    4,511.06x = 95,835,533.94
  5. Step 5: Solve for x
    x = 95,835,533.94/4,511.06
  6. Step 6: Final answer
    x = 21,244.56

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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.