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Finding the Third Proportional to 18,306 and 37,475

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Solution

The third proportional to 18,306 and 37,475 is: 76,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,306 : 37,475 = 37,475 : x
  2. Step 2: Convert to fraction form
    18,306/37,475 = 37,475/x
  3. Step 3: Cross multiply
    18,306x = 37,475 × 37,475
  4. Step 4: Simplify right side
    18,306x = 1,404,375,625
  5. Step 5: Solve for x
    x = 1,404,375,625/18,306
  6. Step 6: Final answer
    x = 76,716.68

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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.