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Finding the Third Proportional to 2,998.58 and 6,689.14

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Solution

The third proportional to 2,998.58 and 6,689.14 is: 14,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.58 : 6,689.14 = 6,689.14 : x
  2. Step 2: Convert to fraction form
    2,998.58/6,689.14 = 6,689.14/x
  3. Step 3: Cross multiply
    2,998.58x = 6,689.14 × 6,689.14
  4. Step 4: Simplify right side
    2,998.58x = 44,744,654.56
  5. Step 5: Solve for x
    x = 44,744,654.56/2,998.58
  6. Step 6: Final answer
    x = 14,921.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.