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Finding the Third Proportional to 923.91 and 1,983.87

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Solution

The third proportional to 923.91 and 1,983.87 is: 4,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.91 : 1,983.87 = 1,983.87 : x
  2. Step 2: Convert to fraction form
    923.91/1,983.87 = 1,983.87/x
  3. Step 3: Cross multiply
    923.91x = 1,983.87 × 1,983.87
  4. Step 4: Simplify right side
    923.91x = 3,935,729.02
  5. Step 5: Solve for x
    x = 3,935,729.02/923.91
  6. Step 6: Final answer
    x = 4,259.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.