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Finding the Third Proportional to 31,794 and 46,539

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Solution

The third proportional to 31,794 and 46,539 is: 68,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794 : 46,539 = 46,539 : x
  2. Step 2: Convert to fraction form
    31,794/46,539 = 46,539/x
  3. Step 3: Cross multiply
    31,794x = 46,539 × 46,539
  4. Step 4: Simplify right side
    31,794x = 2,165,878,521
  5. Step 5: Solve for x
    x = 2,165,878,521/31,794
  6. Step 6: Final answer
    x = 68,122.24

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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.