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Finding the Third Proportional to 2,992.88 and 6,579.88

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Solution

The third proportional to 2,992.88 and 6,579.88 is: 14,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.88 : 6,579.88 = 6,579.88 : x
  2. Step 2: Convert to fraction form
    2,992.88/6,579.88 = 6,579.88/x
  3. Step 3: Cross multiply
    2,992.88x = 6,579.88 × 6,579.88
  4. Step 4: Simplify right side
    2,992.88x = 43,294,755.02
  5. Step 5: Solve for x
    x = 43,294,755.02/2,992.88
  6. Step 6: Final answer
    x = 14,465.94

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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.