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Finding the Third Proportional to 32,206 and 49,269

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Solution

The third proportional to 32,206 and 49,269 is: 75,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206 : 49,269 = 49,269 : x
  2. Step 2: Convert to fraction form
    32,206/49,269 = 49,269/x
  3. Step 3: Cross multiply
    32,206x = 49,269 × 49,269
  4. Step 4: Simplify right side
    32,206x = 2,427,434,361
  5. Step 5: Solve for x
    x = 2,427,434,361/32,206
  6. Step 6: Final answer
    x = 75,372.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.