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Finding the Third Proportional to 12,613.25 and 18,919.88

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Solution

The third proportional to 12,613.25 and 18,919.88 is: 28,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.25 : 18,919.88 = 18,919.88 : x
  2. Step 2: Convert to fraction form
    12,613.25/18,919.88 = 18,919.88/x
  3. Step 3: Cross multiply
    12,613.25x = 18,919.88 × 18,919.88
  4. Step 4: Simplify right side
    12,613.25x = 357,961,670.02
  5. Step 5: Solve for x
    x = 357,961,670.02/12,613.25
  6. Step 6: Final answer
    x = 28,379.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.