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Finding the Third Proportional to 13,476.38 and 19,297.13

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Solution

The third proportional to 13,476.38 and 19,297.13 is: 27,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.38 : 19,297.13 = 19,297.13 : x
  2. Step 2: Convert to fraction form
    13,476.38/19,297.13 = 19,297.13/x
  3. Step 3: Cross multiply
    13,476.38x = 19,297.13 × 19,297.13
  4. Step 4: Simplify right side
    13,476.38x = 372,379,033.27
  5. Step 5: Solve for x
    x = 372,379,033.27/13,476.38
  6. Step 6: Final answer
    x = 27,631.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.