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Finding the Third Proportional to 2,744.06 and 6,021.66

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Solution

The third proportional to 2,744.06 and 6,021.66 is: 13,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.06 : 6,021.66 = 6,021.66 : x
  2. Step 2: Convert to fraction form
    2,744.06/6,021.66 = 6,021.66/x
  3. Step 3: Cross multiply
    2,744.06x = 6,021.66 × 6,021.66
  4. Step 4: Simplify right side
    2,744.06x = 36,260,343.99
  5. Step 5: Solve for x
    x = 36,260,343.99/2,744.06
  6. Step 6: Final answer
    x = 13,214.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.