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Finding the Third Proportional to 37,846 and 56,769

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Solution

The third proportional to 37,846 and 56,769 is: 85,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,846 : 56,769 = 56,769 : x
  2. Step 2: Convert to fraction form
    37,846/56,769 = 56,769/x
  3. Step 3: Cross multiply
    37,846x = 56,769 × 56,769
  4. Step 4: Simplify right side
    37,846x = 3,222,719,361
  5. Step 5: Solve for x
    x = 3,222,719,361/37,846
  6. Step 6: Final answer
    x = 85,153.50

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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.