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Finding the Third Proportional to 12,286.69 and 29,577.66

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Solution

The third proportional to 12,286.69 and 29,577.66 is: 71,202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.69 : 29,577.66 = 29,577.66 : x
  2. Step 2: Convert to fraction form
    12,286.69/29,577.66 = 29,577.66/x
  3. Step 3: Cross multiply
    12,286.69x = 29,577.66 × 29,577.66
  4. Step 4: Simplify right side
    12,286.69x = 874,837,749.24
  5. Step 5: Solve for x
    x = 874,837,749.24/12,286.69
  6. Step 6: Final answer
    x = 71,202.08

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.