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Finding the Third Proportional to 946.27 and 1,983.66

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Solution

The third proportional to 946.27 and 1,983.66 is: 4,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.27 : 1,983.66 = 1,983.66 : x
  2. Step 2: Convert to fraction form
    946.27/1,983.66 = 1,983.66/x
  3. Step 3: Cross multiply
    946.27x = 1,983.66 × 1,983.66
  4. Step 4: Simplify right side
    946.27x = 3,934,892.12
  5. Step 5: Solve for x
    x = 3,934,892.12/946.27
  6. Step 6: Final answer
    x = 4,158.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.