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Finding the Third Proportional to 31,885 and 46,855

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Solution

The third proportional to 31,885 and 46,855 is: 68,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885 : 46,855 = 46,855 : x
  2. Step 2: Convert to fraction form
    31,885/46,855 = 46,855/x
  3. Step 3: Cross multiply
    31,885x = 46,855 × 46,855
  4. Step 4: Simplify right side
    31,885x = 2,195,391,025
  5. Step 5: Solve for x
    x = 2,195,391,025/31,885
  6. Step 6: Final answer
    x = 68,853.41

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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.