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Finding the Third Proportional to 12,609.42 and 19,512.14

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Solution

The third proportional to 12,609.42 and 19,512.14 is: 30,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.42 : 19,512.14 = 19,512.14 : x
  2. Step 2: Convert to fraction form
    12,609.42/19,512.14 = 19,512.14/x
  3. Step 3: Cross multiply
    12,609.42x = 19,512.14 × 19,512.14
  4. Step 4: Simplify right side
    12,609.42x = 380,723,631.77
  5. Step 5: Solve for x
    x = 380,723,631.77/12,609.42
  6. Step 6: Final answer
    x = 30,193.58

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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.