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Finding the Third Proportional to 18,234 and 37,733

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Solution

The third proportional to 18,234 and 37,733 is: 78,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234 : 37,733 = 37,733 : x
  2. Step 2: Convert to fraction form
    18,234/37,733 = 37,733/x
  3. Step 3: Cross multiply
    18,234x = 37,733 × 37,733
  4. Step 4: Simplify right side
    18,234x = 1,423,779,289
  5. Step 5: Solve for x
    x = 1,423,779,289/18,234
  6. Step 6: Final answer
    x = 78,083.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.