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Finding the Third Proportional to 1,983.87 and 4,311.35

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Solution

The third proportional to 1,983.87 and 4,311.35 is: 9,369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.87 : 4,311.35 = 4,311.35 : x
  2. Step 2: Convert to fraction form
    1,983.87/4,311.35 = 4,311.35/x
  3. Step 3: Cross multiply
    1,983.87x = 4,311.35 × 4,311.35
  4. Step 4: Simplify right side
    1,983.87x = 18,587,752.30
  5. Step 5: Solve for x
    x = 18,587,752.30/1,983.87
  6. Step 6: Final answer
    x = 9,369.45

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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.