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Finding the Third Proportional to 32,831 and 49,638

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Solution

The third proportional to 32,831 and 49,638 is: 75,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,831 : 49,638 = 49,638 : x
  2. Step 2: Convert to fraction form
    32,831/49,638 = 49,638/x
  3. Step 3: Cross multiply
    32,831x = 49,638 × 49,638
  4. Step 4: Simplify right side
    32,831x = 2,463,931,044
  5. Step 5: Solve for x
    x = 2,463,931,044/32,831
  6. Step 6: Final answer
    x = 75,048.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.