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Finding the Third Proportional to 37,676 and 51,169

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Solution

The third proportional to 37,676 and 51,169 is: 69,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,676 : 51,169 = 51,169 : x
  2. Step 2: Convert to fraction form
    37,676/51,169 = 51,169/x
  3. Step 3: Cross multiply
    37,676x = 51,169 × 51,169
  4. Step 4: Simplify right side
    37,676x = 2,618,266,561
  5. Step 5: Solve for x
    x = 2,618,266,561/37,676
  6. Step 6: Final answer
    x = 69,494.28

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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.