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Finding the Third Proportional to 17,784 and 27,711

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Solution

The third proportional to 17,784 and 27,711 is: 43,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784 : 27,711 = 27,711 : x
  2. Step 2: Convert to fraction form
    17,784/27,711 = 27,711/x
  3. Step 3: Cross multiply
    17,784x = 27,711 × 27,711
  4. Step 4: Simplify right side
    17,784x = 767,899,521
  5. Step 5: Solve for x
    x = 767,899,521/17,784
  6. Step 6: Final answer
    x = 43,179.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.