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Finding the Third Proportional to 18,114 and 37,206

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Solution

The third proportional to 18,114 and 37,206 is: 76,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,114 : 37,206 = 37,206 : x
  2. Step 2: Convert to fraction form
    18,114/37,206 = 37,206/x
  3. Step 3: Cross multiply
    18,114x = 37,206 × 37,206
  4. Step 4: Simplify right side
    18,114x = 1,384,286,436
  5. Step 5: Solve for x
    x = 1,384,286,436/18,114
  6. Step 6: Final answer
    x = 76,420.80

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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.