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Finding the Third Proportional to 12,394.69 and 17,052.19

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Solution

The third proportional to 12,394.69 and 17,052.19 is: 23,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.69 : 17,052.19 = 17,052.19 : x
  2. Step 2: Convert to fraction form
    12,394.69/17,052.19 = 17,052.19/x
  3. Step 3: Cross multiply
    12,394.69x = 17,052.19 × 17,052.19
  4. Step 4: Simplify right side
    12,394.69x = 290,777,098.54
  5. Step 5: Solve for x
    x = 290,777,098.54/12,394.69
  6. Step 6: Final answer
    x = 23,459.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.