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Finding the Third Proportional to 31,794 and 46,718

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Solution

The third proportional to 31,794 and 46,718 is: 68,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794 : 46,718 = 46,718 : x
  2. Step 2: Convert to fraction form
    31,794/46,718 = 46,718/x
  3. Step 3: Cross multiply
    31,794x = 46,718 × 46,718
  4. Step 4: Simplify right side
    31,794x = 2,182,571,524
  5. Step 5: Solve for x
    x = 2,182,571,524/31,794
  6. Step 6: Final answer
    x = 68,647.28

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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.