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Finding the Third Proportional to 37,236 and 51,750

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Solution

The third proportional to 37,236 and 51,750 is: 71,921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,236 : 51,750 = 51,750 : x
  2. Step 2: Convert to fraction form
    37,236/51,750 = 51,750/x
  3. Step 3: Cross multiply
    37,236x = 51,750 × 51,750
  4. Step 4: Simplify right side
    37,236x = 2,678,062,500
  5. Step 5: Solve for x
    x = 2,678,062,500/37,236
  6. Step 6: Final answer
    x = 71,921.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.