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Finding the Third Proportional to 37,789 and 51,137

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Solution

The third proportional to 37,789 and 51,137 is: 69,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,789 : 51,137 = 51,137 : x
  2. Step 2: Convert to fraction form
    37,789/51,137 = 51,137/x
  3. Step 3: Cross multiply
    37,789x = 51,137 × 51,137
  4. Step 4: Simplify right side
    37,789x = 2,614,992,769
  5. Step 5: Solve for x
    x = 2,614,992,769/37,789
  6. Step 6: Final answer
    x = 69,199.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.