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Finding the Third Proportional to 2,781.84 and 6,001.59

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Solution

The third proportional to 2,781.84 and 6,001.59 is: 12,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.84 : 6,001.59 = 6,001.59 : x
  2. Step 2: Convert to fraction form
    2,781.84/6,001.59 = 6,001.59/x
  3. Step 3: Cross multiply
    2,781.84x = 6,001.59 × 6,001.59
  4. Step 4: Simplify right side
    2,781.84x = 36,019,127.54
  5. Step 5: Solve for x
    x = 36,019,127.54/2,781.84
  6. Step 6: Final answer
    x = 12,947.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.