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Finding the Third Proportional to 2,993.63 and 6,645.38

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Solution

The third proportional to 2,993.63 and 6,645.38 is: 14,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.63 : 6,645.38 = 6,645.38 : x
  2. Step 2: Convert to fraction form
    2,993.63/6,645.38 = 6,645.38/x
  3. Step 3: Cross multiply
    2,993.63x = 6,645.38 × 6,645.38
  4. Step 4: Simplify right side
    2,993.63x = 44,161,008.89
  5. Step 5: Solve for x
    x = 44,161,008.89/2,993.63
  6. Step 6: Final answer
    x = 14,751.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.