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Finding the Third Proportional to 31,790 and 46,761

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Solution

The third proportional to 31,790 and 46,761 is: 68,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,790 : 46,761 = 46,761 : x
  2. Step 2: Convert to fraction form
    31,790/46,761 = 46,761/x
  3. Step 3: Cross multiply
    31,790x = 46,761 × 46,761
  4. Step 4: Simplify right side
    31,790x = 2,186,591,121
  5. Step 5: Solve for x
    x = 2,186,591,121/31,790
  6. Step 6: Final answer
    x = 68,782.36

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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.