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Finding the Third Proportional to 31,206 and 46,761

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Solution

The third proportional to 31,206 and 46,761 is: 70,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206 : 46,761 = 46,761 : x
  2. Step 2: Convert to fraction form
    31,206/46,761 = 46,761/x
  3. Step 3: Cross multiply
    31,206x = 46,761 × 46,761
  4. Step 4: Simplify right side
    31,206x = 2,186,591,121
  5. Step 5: Solve for x
    x = 2,186,591,121/31,206
  6. Step 6: Final answer
    x = 70,069.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.