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Finding the Third Proportional to 2,729.11 and 5,894.02

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Solution

The third proportional to 2,729.11 and 5,894.02 is: 12,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.11 : 5,894.02 = 5,894.02 : x
  2. Step 2: Convert to fraction form
    2,729.11/5,894.02 = 5,894.02/x
  3. Step 3: Cross multiply
    2,729.11x = 5,894.02 × 5,894.02
  4. Step 4: Simplify right side
    2,729.11x = 34,739,420.19
  5. Step 5: Solve for x
    x = 34,739,420.19/2,729.11
  6. Step 6: Final answer
    x = 12,729.22

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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.