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Finding the Third Proportional to 17,787 and 26,634

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Solution

The third proportional to 17,787 and 26,634 is: 39,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787 : 26,634 = 26,634 : x
  2. Step 2: Convert to fraction form
    17,787/26,634 = 26,634/x
  3. Step 3: Cross multiply
    17,787x = 26,634 × 26,634
  4. Step 4: Simplify right side
    17,787x = 709,369,956
  5. Step 5: Solve for x
    x = 709,369,956/17,787
  6. Step 6: Final answer
    x = 39,881.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.