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Finding the Third Proportional to 31,908 and 50,502

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Solution

The third proportional to 31,908 and 50,502 is: 79,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908 : 50,502 = 50,502 : x
  2. Step 2: Convert to fraction form
    31,908/50,502 = 50,502/x
  3. Step 3: Cross multiply
    31,908x = 50,502 × 50,502
  4. Step 4: Simplify right side
    31,908x = 2,550,452,004
  5. Step 5: Solve for x
    x = 2,550,452,004/31,908
  6. Step 6: Final answer
    x = 79,931.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.