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Finding the Third Proportional to 3,009.23 and 4,426.73

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Solution

The third proportional to 3,009.23 and 4,426.73 is: 6,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.23 : 4,426.73 = 4,426.73 : x
  2. Step 2: Convert to fraction form
    3,009.23/4,426.73 = 4,426.73/x
  3. Step 3: Cross multiply
    3,009.23x = 4,426.73 × 4,426.73
  4. Step 4: Simplify right side
    3,009.23x = 19,595,977.23
  5. Step 5: Solve for x
    x = 19,595,977.23/3,009.23
  6. Step 6: Final answer
    x = 6,511.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.