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Finding the Third Proportional to 3,227.34 and 4,983.40

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Solution

The third proportional to 3,227.34 and 4,983.40 is: 7,694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.34 : 4,983.40 = 4,983.40 : x
  2. Step 2: Convert to fraction form
    3,227.34/4,983.40 = 4,983.40/x
  3. Step 3: Cross multiply
    3,227.34x = 4,983.40 × 4,983.40
  4. Step 4: Simplify right side
    3,227.34x = 24,834,259.99
  5. Step 5: Solve for x
    x = 24,834,259.99/3,227.34
  6. Step 6: Final answer
    x = 7,694.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.