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Finding the Third Proportional to 1,998.84 and 2,664.98

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Solution

The third proportional to 1,998.84 and 2,664.98 is: 3,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.84 : 2,664.98 = 2,664.98 : x
  2. Step 2: Convert to fraction form
    1,998.84/2,664.98 = 2,664.98/x
  3. Step 3: Cross multiply
    1,998.84x = 2,664.98 × 2,664.98
  4. Step 4: Simplify right side
    1,998.84x = 7,102,141.72
  5. Step 5: Solve for x
    x = 7,102,141.72/1,998.84
  6. Step 6: Final answer
    x = 3,553.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.