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Finding the Third Proportional to 37,890 and 56,836

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Solution

The third proportional to 37,890 and 56,836 is: 85,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,890 : 56,836 = 56,836 : x
  2. Step 2: Convert to fraction form
    37,890/56,836 = 56,836/x
  3. Step 3: Cross multiply
    37,890x = 56,836 × 56,836
  4. Step 4: Simplify right side
    37,890x = 3,230,330,896
  5. Step 5: Solve for x
    x = 3,230,330,896/37,890
  6. Step 6: Final answer
    x = 85,255.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.