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Finding the Third Proportional to 12,015 and 25,806.75

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Solution

The third proportional to 12,015 and 25,806.75 is: 55,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015 : 25,806.75 = 25,806.75 : x
  2. Step 2: Convert to fraction form
    12,015/25,806.75 = 25,806.75/x
  3. Step 3: Cross multiply
    12,015x = 25,806.75 × 25,806.75
  4. Step 4: Simplify right side
    12,015x = 665,988,345.56
  5. Step 5: Solve for x
    x = 665,988,345.56/12,015
  6. Step 6: Final answer
    x = 55,429.74

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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.