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Finding the Third Proportional to 43,474 and 68,910

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Solution

The third proportional to 43,474 and 68,910 is: 109,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,474 : 68,910 = 68,910 : x
  2. Step 2: Convert to fraction form
    43,474/68,910 = 68,910/x
  3. Step 3: Cross multiply
    43,474x = 68,910 × 68,910
  4. Step 4: Simplify right side
    43,474x = 4,748,588,100
  5. Step 5: Solve for x
    x = 4,748,588,100/43,474
  6. Step 6: Final answer
    x = 109,228.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.