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Finding the Third Proportional to 21,784 and 31,794

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Solution

The third proportional to 21,784 and 31,794 is: 46,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784 : 31,794 = 31,794 : x
  2. Step 2: Convert to fraction form
    21,784/31,794 = 31,794/x
  3. Step 3: Cross multiply
    21,784x = 31,794 × 31,794
  4. Step 4: Simplify right side
    21,784x = 1,010,858,436
  5. Step 5: Solve for x
    x = 1,010,858,436/21,784
  6. Step 6: Final answer
    x = 46,403.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.