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Finding the Third Proportional to 12,350.25 and 19,151.44

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Solution

The third proportional to 12,350.25 and 19,151.44 is: 29,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350.25 : 19,151.44 = 19,151.44 : x
  2. Step 2: Convert to fraction form
    12,350.25/19,151.44 = 19,151.44/x
  3. Step 3: Cross multiply
    12,350.25x = 19,151.44 × 19,151.44
  4. Step 4: Simplify right side
    12,350.25x = 366,777,558.32
  5. Step 5: Solve for x
    x = 366,777,558.32/12,350.25
  6. Step 6: Final answer
    x = 29,697.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.