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Finding the Third Proportional to 12,266.44 and 27,308.81

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Solution

The third proportional to 12,266.44 and 27,308.81 is: 60,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.44 : 27,308.81 = 27,308.81 : x
  2. Step 2: Convert to fraction form
    12,266.44/27,308.81 = 27,308.81/x
  3. Step 3: Cross multiply
    12,266.44x = 27,308.81 × 27,308.81
  4. Step 4: Simplify right side
    12,266.44x = 745,771,240.16
  5. Step 5: Solve for x
    x = 745,771,240.16/12,266.44
  6. Step 6: Final answer
    x = 60,797.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.