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Finding the Third Proportional to 12,462 and 18,515.25

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Solution

The third proportional to 12,462 and 18,515.25 is: 27,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462 : 18,515.25 = 18,515.25 : x
  2. Step 2: Convert to fraction form
    12,462/18,515.25 = 18,515.25/x
  3. Step 3: Cross multiply
    12,462x = 18,515.25 × 18,515.25
  4. Step 4: Simplify right side
    12,462x = 342,814,482.56
  5. Step 5: Solve for x
    x = 342,814,482.56/12,462
  6. Step 6: Final answer
    x = 27,508.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.