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Finding the Third Proportional to 12,920.06 and 27,006.75

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Solution

The third proportional to 12,920.06 and 27,006.75 is: 56,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.06 : 27,006.75 = 27,006.75 : x
  2. Step 2: Convert to fraction form
    12,920.06/27,006.75 = 27,006.75/x
  3. Step 3: Cross multiply
    12,920.06x = 27,006.75 × 27,006.75
  4. Step 4: Simplify right side
    12,920.06x = 729,364,545.56
  5. Step 5: Solve for x
    x = 729,364,545.56/12,920.06
  6. Step 6: Final answer
    x = 56,452.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.