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Finding the Third Proportional to 12,651.19 and 19,675.41

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Solution

The third proportional to 12,651.19 and 19,675.41 is: 30,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.19 : 19,675.41 = 19,675.41 : x
  2. Step 2: Convert to fraction form
    12,651.19/19,675.41 = 19,675.41/x
  3. Step 3: Cross multiply
    12,651.19x = 19,675.41 × 19,675.41
  4. Step 4: Simplify right side
    12,651.19x = 387,121,611.10
  5. Step 5: Solve for x
    x = 387,121,611.10/12,651.19
  6. Step 6: Final answer
    x = 30,599.63

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.