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Finding the Third Proportional to 18,262 and 37,389

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Solution

The third proportional to 18,262 and 37,389 is: 76,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,262 : 37,389 = 37,389 : x
  2. Step 2: Convert to fraction form
    18,262/37,389 = 37,389/x
  3. Step 3: Cross multiply
    18,262x = 37,389 × 37,389
  4. Step 4: Simplify right side
    18,262x = 1,397,937,321
  5. Step 5: Solve for x
    x = 1,397,937,321/18,262
  6. Step 6: Final answer
    x = 76,548.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.