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Finding the Third Proportional to 19,564 and 27,704

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Solution

The third proportional to 19,564 and 27,704 is: 39,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564 : 27,704 = 27,704 : x
  2. Step 2: Convert to fraction form
    19,564/27,704 = 27,704/x
  3. Step 3: Cross multiply
    19,564x = 27,704 × 27,704
  4. Step 4: Simplify right side
    19,564x = 767,511,616
  5. Step 5: Solve for x
    x = 767,511,616/19,564
  6. Step 6: Final answer
    x = 39,230.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.