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Finding the Third Proportional to 39,852 and 59,679

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Solution

The third proportional to 39,852 and 59,679 is: 89,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,852 : 59,679 = 59,679 : x
  2. Step 2: Convert to fraction form
    39,852/59,679 = 59,679/x
  3. Step 3: Cross multiply
    39,852x = 59,679 × 59,679
  4. Step 4: Simplify right side
    39,852x = 3,561,583,041
  5. Step 5: Solve for x
    x = 3,561,583,041/39,852
  6. Step 6: Final answer
    x = 89,370.25

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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.