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Finding the Third Proportional to 18,896 and 26,418

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Solution

The third proportional to 18,896 and 26,418 is: 36,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,896 : 26,418 = 26,418 : x
  2. Step 2: Convert to fraction form
    18,896/26,418 = 26,418/x
  3. Step 3: Cross multiply
    18,896x = 26,418 × 26,418
  4. Step 4: Simplify right side
    18,896x = 697,910,724
  5. Step 5: Solve for x
    x = 697,910,724/18,896
  6. Step 6: Final answer
    x = 36,934.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.