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Finding the Third Proportional to 34,372 and 51,649

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Solution

The third proportional to 34,372 and 51,649 is: 77,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,372 : 51,649 = 51,649 : x
  2. Step 2: Convert to fraction form
    34,372/51,649 = 51,649/x
  3. Step 3: Cross multiply
    34,372x = 51,649 × 51,649
  4. Step 4: Simplify right side
    34,372x = 2,667,619,201
  5. Step 5: Solve for x
    x = 2,667,619,201/34,372
  6. Step 6: Final answer
    x = 77,610.24

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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.