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Finding the Third Proportional to 19,846 and 26,954

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Solution

The third proportional to 19,846 and 26,954 is: 36,607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846 : 26,954 = 26,954 : x
  2. Step 2: Convert to fraction form
    19,846/26,954 = 26,954/x
  3. Step 3: Cross multiply
    19,846x = 26,954 × 26,954
  4. Step 4: Simplify right side
    19,846x = 726,518,116
  5. Step 5: Solve for x
    x = 726,518,116/19,846
  6. Step 6: Final answer
    x = 36,607.79

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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.