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Finding the Third Proportional to 31,282 and 33,712

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Solution

The third proportional to 31,282 and 33,712 is: 36,330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282 : 33,712 = 33,712 : x
  2. Step 2: Convert to fraction form
    31,282/33,712 = 33,712/x
  3. Step 3: Cross multiply
    31,282x = 33,712 × 33,712
  4. Step 4: Simplify right side
    31,282x = 1,136,498,944
  5. Step 5: Solve for x
    x = 1,136,498,944/31,282
  6. Step 6: Final answer
    x = 36,330.76

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.