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Finding the Third Proportional to 19,794 and 26,889.75

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Solution

The third proportional to 19,794 and 26,889.75 is: 36,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794 : 26,889.75 = 26,889.75 : x
  2. Step 2: Convert to fraction form
    19,794/26,889.75 = 26,889.75/x
  3. Step 3: Cross multiply
    19,794x = 26,889.75 × 26,889.75
  4. Step 4: Simplify right side
    19,794x = 723,058,655.06
  5. Step 5: Solve for x
    x = 723,058,655.06/19,794
  6. Step 6: Final answer
    x = 36,529.18

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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.