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Finding the Third Proportional to 12,535.38 and 19,431.94

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Solution

The third proportional to 12,535.38 and 19,431.94 is: 30,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.38 : 19,431.94 = 19,431.94 : x
  2. Step 2: Convert to fraction form
    12,535.38/19,431.94 = 19,431.94/x
  3. Step 3: Cross multiply
    12,535.38x = 19,431.94 × 19,431.94
  4. Step 4: Simplify right side
    12,535.38x = 377,600,195.00
  5. Step 5: Solve for x
    x = 377,600,195.00/12,535.38
  6. Step 6: Final answer
    x = 30,122.77

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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.