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Finding the Third Proportional to 43,811 and 68,637

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Solution

The third proportional to 43,811 and 68,637 is: 107,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,811 : 68,637 = 68,637 : x
  2. Step 2: Convert to fraction form
    43,811/68,637 = 68,637/x
  3. Step 3: Cross multiply
    43,811x = 68,637 × 68,637
  4. Step 4: Simplify right side
    43,811x = 4,711,037,769
  5. Step 5: Solve for x
    x = 4,711,037,769/43,811
  6. Step 6: Final answer
    x = 107,530.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.