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Finding the Third Proportional to 2,893 and 5,991.13

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Solution

The third proportional to 2,893 and 5,991.13 is: 12,407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893 : 5,991.13 = 5,991.13 : x
  2. Step 2: Convert to fraction form
    2,893/5,991.13 = 5,991.13/x
  3. Step 3: Cross multiply
    2,893x = 5,991.13 × 5,991.13
  4. Step 4: Simplify right side
    2,893x = 35,893,578.77
  5. Step 5: Solve for x
    x = 35,893,578.77/2,893
  6. Step 6: Final answer
    x = 12,407.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.