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Finding the Third Proportional to 32,860 and 50,982

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Solution

The third proportional to 32,860 and 50,982 is: 79,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,860 : 50,982 = 50,982 : x
  2. Step 2: Convert to fraction form
    32,860/50,982 = 50,982/x
  3. Step 3: Cross multiply
    32,860x = 50,982 × 50,982
  4. Step 4: Simplify right side
    32,860x = 2,599,164,324
  5. Step 5: Solve for x
    x = 2,599,164,324/32,860
  6. Step 6: Final answer
    x = 79,098.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.