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Finding the Third Proportional to 12,901.78 and 19,474.17

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Solution

The third proportional to 12,901.78 and 19,474.17 is: 29,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.78 : 19,474.17 = 19,474.17 : x
  2. Step 2: Convert to fraction form
    12,901.78/19,474.17 = 19,474.17/x
  3. Step 3: Cross multiply
    12,901.78x = 19,474.17 × 19,474.17
  4. Step 4: Simplify right side
    12,901.78x = 379,243,370.22
  5. Step 5: Solve for x
    x = 379,243,370.22/12,901.78
  6. Step 6: Final answer
    x = 29,394.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.