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Finding the Third Proportional to 31,904 and 46,832

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Solution

The third proportional to 31,904 and 46,832 is: 68,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904 : 46,832 = 46,832 : x
  2. Step 2: Convert to fraction form
    31,904/46,832 = 46,832/x
  3. Step 3: Cross multiply
    31,904x = 46,832 × 46,832
  4. Step 4: Simplify right side
    31,904x = 2,193,236,224
  5. Step 5: Solve for x
    x = 2,193,236,224/31,904
  6. Step 6: Final answer
    x = 68,744.87

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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.