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Finding the Third Proportional to 996.05 and 2,155.99

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Solution

The third proportional to 996.05 and 2,155.99 is: 4,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.05 : 2,155.99 = 2,155.99 : x
  2. Step 2: Convert to fraction form
    996.05/2,155.99 = 2,155.99/x
  3. Step 3: Cross multiply
    996.05x = 2,155.99 × 2,155.99
  4. Step 4: Simplify right side
    996.05x = 4,648,302.31
  5. Step 5: Solve for x
    x = 4,648,302.31/996.05
  6. Step 6: Final answer
    x = 4,666.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.