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Finding the Third Proportional to 2,998.27 and 6,592.64

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Solution

The third proportional to 2,998.27 and 6,592.64 is: 14,496.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.27 : 6,592.64 = 6,592.64 : x
  2. Step 2: Convert to fraction form
    2,998.27/6,592.64 = 6,592.64/x
  3. Step 3: Cross multiply
    2,998.27x = 6,592.64 × 6,592.64
  4. Step 4: Simplify right side
    2,998.27x = 43,462,910.41
  5. Step 5: Solve for x
    x = 43,462,910.41/2,998.27
  6. Step 6: Final answer
    x = 14,496.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.