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Finding the Third Proportional to 31,165 and 46,738

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Solution

The third proportional to 31,165 and 46,738 is: 70,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165 : 46,738 = 46,738 : x
  2. Step 2: Convert to fraction form
    31,165/46,738 = 46,738/x
  3. Step 3: Cross multiply
    31,165x = 46,738 × 46,738
  4. Step 4: Simplify right side
    31,165x = 2,184,440,644
  5. Step 5: Solve for x
    x = 2,184,440,644/31,165
  6. Step 6: Final answer
    x = 70,092.75

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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.