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Finding the Third Proportional to 14,010.75 and 19,297.13

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Solution

The third proportional to 14,010.75 and 19,297.13 is: 26,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010.75 : 19,297.13 = 19,297.13 : x
  2. Step 2: Convert to fraction form
    14,010.75/19,297.13 = 19,297.13/x
  3. Step 3: Cross multiply
    14,010.75x = 19,297.13 × 19,297.13
  4. Step 4: Simplify right side
    14,010.75x = 372,379,033.27
  5. Step 5: Solve for x
    x = 372,379,033.27/14,010.75
  6. Step 6: Final answer
    x = 26,578.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.