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Finding the Third Proportional to 38,733 and 52,269

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Solution

The third proportional to 38,733 and 52,269 is: 70,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,733 : 52,269 = 52,269 : x
  2. Step 2: Convert to fraction form
    38,733/52,269 = 52,269/x
  3. Step 3: Cross multiply
    38,733x = 52,269 × 52,269
  4. Step 4: Simplify right side
    38,733x = 2,732,048,361
  5. Step 5: Solve for x
    x = 2,732,048,361/38,733
  6. Step 6: Final answer
    x = 70,535.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.