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Finding the Third Proportional to 28,956 and 38,250

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Solution

The third proportional to 28,956 and 38,250 is: 50,527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,956 : 38,250 = 38,250 : x
  2. Step 2: Convert to fraction form
    28,956/38,250 = 38,250/x
  3. Step 3: Cross multiply
    28,956x = 38,250 × 38,250
  4. Step 4: Simplify right side
    28,956x = 1,463,062,500
  5. Step 5: Solve for x
    x = 1,463,062,500/28,956
  6. Step 6: Final answer
    x = 50,527.09

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.