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Finding the Third Proportional to 12,694.14 and 19,645.98

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Solution

The third proportional to 12,694.14 and 19,645.98 is: 30,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.14 : 19,645.98 = 19,645.98 : x
  2. Step 2: Convert to fraction form
    12,694.14/19,645.98 = 19,645.98/x
  3. Step 3: Cross multiply
    12,694.14x = 19,645.98 × 19,645.98
  4. Step 4: Simplify right side
    12,694.14x = 385,964,548.58
  5. Step 5: Solve for x
    x = 385,964,548.58/12,694.14
  6. Step 6: Final answer
    x = 30,404.94

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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.