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Finding the Third Proportional to 18,092 and 37,548

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Solution

The third proportional to 18,092 and 37,548 is: 77,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,092 : 37,548 = 37,548 : x
  2. Step 2: Convert to fraction form
    18,092/37,548 = 37,548/x
  3. Step 3: Cross multiply
    18,092x = 37,548 × 37,548
  4. Step 4: Simplify right side
    18,092x = 1,409,852,304
  5. Step 5: Solve for x
    x = 1,409,852,304/18,092
  6. Step 6: Final answer
    x = 77,926.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.