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Finding the Third Proportional to 19,844 and 26,950.25

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Solution

The third proportional to 19,844 and 26,950.25 is: 36,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,844 : 26,950.25 = 26,950.25 : x
  2. Step 2: Convert to fraction form
    19,844/26,950.25 = 26,950.25/x
  3. Step 3: Cross multiply
    19,844x = 26,950.25 × 26,950.25
  4. Step 4: Simplify right side
    19,844x = 726,315,975.06
  5. Step 5: Solve for x
    x = 726,315,975.06/19,844
  6. Step 6: Final answer
    x = 36,601.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.