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Finding the Third Proportional to 12,718.27 and 27,625.64

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Solution

The third proportional to 12,718.27 and 27,625.64 is: 60,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.27 : 27,625.64 = 27,625.64 : x
  2. Step 2: Convert to fraction form
    12,718.27/27,625.64 = 27,625.64/x
  3. Step 3: Cross multiply
    12,718.27x = 27,625.64 × 27,625.64
  4. Step 4: Simplify right side
    12,718.27x = 763,176,019.94
  5. Step 5: Solve for x
    x = 763,176,019.94/12,718.27
  6. Step 6: Final answer
    x = 60,006.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.