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Finding the Third Proportional to 12,266.75 and 19,455.42

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Solution

The third proportional to 12,266.75 and 19,455.42 is: 30,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.75 : 19,455.42 = 19,455.42 : x
  2. Step 2: Convert to fraction form
    12,266.75/19,455.42 = 19,455.42/x
  3. Step 3: Cross multiply
    12,266.75x = 19,455.42 × 19,455.42
  4. Step 4: Simplify right side
    12,266.75x = 378,513,440.33
  5. Step 5: Solve for x
    x = 378,513,440.33/12,266.75
  6. Step 6: Final answer
    x = 30,856.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.