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Finding the Third Proportional to 19,898 and 27,894

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Solution

The third proportional to 19,898 and 27,894 is: 39,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898 : 27,894 = 27,894 : x
  2. Step 2: Convert to fraction form
    19,898/27,894 = 27,894/x
  3. Step 3: Cross multiply
    19,898x = 27,894 × 27,894
  4. Step 4: Simplify right side
    19,898x = 778,075,236
  5. Step 5: Solve for x
    x = 778,075,236/19,898
  6. Step 6: Final answer
    x = 39,103.19

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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.