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Finding the Third Proportional to 12,264.75 and 19,428.56

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Solution

The third proportional to 12,264.75 and 19,428.56 is: 30,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.75 : 19,428.56 = 19,428.56 : x
  2. Step 2: Convert to fraction form
    12,264.75/19,428.56 = 19,428.56/x
  3. Step 3: Cross multiply
    12,264.75x = 19,428.56 × 19,428.56
  4. Step 4: Simplify right side
    12,264.75x = 377,469,040.82
  5. Step 5: Solve for x
    x = 377,469,040.82/12,264.75
  6. Step 6: Final answer
    x = 30,776.74

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.