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Finding the Third Proportional to 12,727.97 and 27,964.97

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Solution

The third proportional to 12,727.97 and 27,964.97 is: 61,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.97 : 27,964.97 = 27,964.97 : x
  2. Step 2: Convert to fraction form
    12,727.97/27,964.97 = 27,964.97/x
  3. Step 3: Cross multiply
    12,727.97x = 27,964.97 × 27,964.97
  4. Step 4: Simplify right side
    12,727.97x = 782,039,477.19
  5. Step 5: Solve for x
    x = 782,039,477.19/12,727.97
  6. Step 6: Final answer
    x = 61,442.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.