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Finding the Third Proportional to 31,840 and 46,794

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Solution

The third proportional to 31,840 and 46,794 is: 68,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,840 : 46,794 = 46,794 : x
  2. Step 2: Convert to fraction form
    31,840/46,794 = 46,794/x
  3. Step 3: Cross multiply
    31,840x = 46,794 × 46,794
  4. Step 4: Simplify right side
    31,840x = 2,189,678,436
  5. Step 5: Solve for x
    x = 2,189,678,436/31,840
  6. Step 6: Final answer
    x = 68,771.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.