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Finding the Third Proportional to 12,691.69 and 27,464.06

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Solution

The third proportional to 12,691.69 and 27,464.06 is: 59,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.69 : 27,464.06 = 27,464.06 : x
  2. Step 2: Convert to fraction form
    12,691.69/27,464.06 = 27,464.06/x
  3. Step 3: Cross multiply
    12,691.69x = 27,464.06 × 27,464.06
  4. Step 4: Simplify right side
    12,691.69x = 754,274,729.00
  5. Step 5: Solve for x
    x = 754,274,729.00/12,691.69
  6. Step 6: Final answer
    x = 59,430.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.