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Finding the Third Proportional to 32,288 and 50,304

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Solution

The third proportional to 32,288 and 50,304 is: 78,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,288 : 50,304 = 50,304 : x
  2. Step 2: Convert to fraction form
    32,288/50,304 = 50,304/x
  3. Step 3: Cross multiply
    32,288x = 50,304 × 50,304
  4. Step 4: Simplify right side
    32,288x = 2,530,492,416
  5. Step 5: Solve for x
    x = 2,530,492,416/32,288
  6. Step 6: Final answer
    x = 78,372.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.