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Finding the Third Proportional to 2,992.50 and 6,589.13

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Solution

The third proportional to 2,992.50 and 6,589.13 is: 14,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.50 : 6,589.13 = 6,589.13 : x
  2. Step 2: Convert to fraction form
    2,992.50/6,589.13 = 6,589.13/x
  3. Step 3: Cross multiply
    2,992.50x = 6,589.13 × 6,589.13
  4. Step 4: Simplify right side
    2,992.50x = 43,416,568.27
  5. Step 5: Solve for x
    x = 43,416,568.27/2,992.50
  6. Step 6: Final answer
    x = 14,508.46

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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.