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Finding the Third Proportional to 12,772.69 and 27,447.19

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Solution

The third proportional to 12,772.69 and 27,447.19 is: 58,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.69 : 27,447.19 = 27,447.19 : x
  2. Step 2: Convert to fraction form
    12,772.69/27,447.19 = 27,447.19/x
  3. Step 3: Cross multiply
    12,772.69x = 27,447.19 × 27,447.19
  4. Step 4: Simplify right side
    12,772.69x = 753,348,101.66
  5. Step 5: Solve for x
    x = 753,348,101.66/12,772.69
  6. Step 6: Final answer
    x = 58,981.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.