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Finding the Third Proportional to 51,867 and 57,699

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Solution

The third proportional to 51,867 and 57,699 is: 64,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,867 : 57,699 = 57,699 : x
  2. Step 2: Convert to fraction form
    51,867/57,699 = 57,699/x
  3. Step 3: Cross multiply
    51,867x = 57,699 × 57,699
  4. Step 4: Simplify right side
    51,867x = 3,329,174,601
  5. Step 5: Solve for x
    x = 3,329,174,601/51,867
  6. Step 6: Final answer
    x = 64,186.76

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.