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Finding the Third Proportional to 18,472 and 35,242

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Solution

The third proportional to 18,472 and 35,242 is: 67,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472 : 35,242 = 35,242 : x
  2. Step 2: Convert to fraction form
    18,472/35,242 = 35,242/x
  3. Step 3: Cross multiply
    18,472x = 35,242 × 35,242
  4. Step 4: Simplify right side
    18,472x = 1,241,998,564
  5. Step 5: Solve for x
    x = 1,241,998,564/18,472
  6. Step 6: Final answer
    x = 67,236.82

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.