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Finding the Third Proportional to 43,837 and 65,737

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Solution

The third proportional to 43,837 and 65,737 is: 98,577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,837 : 65,737 = 65,737 : x
  2. Step 2: Convert to fraction form
    43,837/65,737 = 65,737/x
  3. Step 3: Cross multiply
    43,837x = 65,737 × 65,737
  4. Step 4: Simplify right side
    43,837x = 4,321,353,169
  5. Step 5: Solve for x
    x = 4,321,353,169/43,837
  6. Step 6: Final answer
    x = 98,577.76

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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.