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Finding the Third Proportional to 12,286.69 and 27,109.69

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Solution

The third proportional to 12,286.69 and 27,109.69 is: 59,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.69 : 27,109.69 = 27,109.69 : x
  2. Step 2: Convert to fraction form
    12,286.69/27,109.69 = 27,109.69/x
  3. Step 3: Cross multiply
    12,286.69x = 27,109.69 × 27,109.69
  4. Step 4: Simplify right side
    12,286.69x = 734,935,156.35
  5. Step 5: Solve for x
    x = 734,935,156.35/12,286.69
  6. Step 6: Final answer
    x = 59,815.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.