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Finding the Third Proportional to 37,691 and 51,187

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Solution

The third proportional to 37,691 and 51,187 is: 69,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,691 : 51,187 = 51,187 : x
  2. Step 2: Convert to fraction form
    37,691/51,187 = 51,187/x
  3. Step 3: Cross multiply
    37,691x = 51,187 × 51,187
  4. Step 4: Simplify right side
    37,691x = 2,620,108,969
  5. Step 5: Solve for x
    x = 2,620,108,969/37,691
  6. Step 6: Final answer
    x = 69,515.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.