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Finding the Third Proportional to 37,885 and 56,827

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Solution

The third proportional to 37,885 and 56,827 is: 85,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,885 : 56,827 = 56,827 : x
  2. Step 2: Convert to fraction form
    37,885/56,827 = 56,827/x
  3. Step 3: Cross multiply
    37,885x = 56,827 × 56,827
  4. Step 4: Simplify right side
    37,885x = 3,229,307,929
  5. Step 5: Solve for x
    x = 3,229,307,929/37,885
  6. Step 6: Final answer
    x = 85,239.75

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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.