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Finding the Third Proportional to 12,743.16 and 27,015.19

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Solution

The third proportional to 12,743.16 and 27,015.19 is: 57,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.16 : 27,015.19 = 27,015.19 : x
  2. Step 2: Convert to fraction form
    12,743.16/27,015.19 = 27,015.19/x
  3. Step 3: Cross multiply
    12,743.16x = 27,015.19 × 27,015.19
  4. Step 4: Simplify right side
    12,743.16x = 729,820,355.66
  5. Step 5: Solve for x
    x = 729,820,355.66/12,743.16
  6. Step 6: Final answer
    x = 57,271.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.