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Finding the Third Proportional to 2,748.93 and 6,001.97

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Solution

The third proportional to 2,748.93 and 6,001.97 is: 13,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.93 : 6,001.97 = 6,001.97 : x
  2. Step 2: Convert to fraction form
    2,748.93/6,001.97 = 6,001.97/x
  3. Step 3: Cross multiply
    2,748.93x = 6,001.97 × 6,001.97
  4. Step 4: Simplify right side
    2,748.93x = 36,023,637.67
  5. Step 5: Solve for x
    x = 36,023,637.67/2,748.93
  6. Step 6: Final answer
    x = 13,104.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.