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Finding the Third Proportional to 18,098 and 27,011

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Solution

The third proportional to 18,098 and 27,011 is: 40,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098 : 27,011 = 27,011 : x
  2. Step 2: Convert to fraction form
    18,098/27,011 = 27,011/x
  3. Step 3: Cross multiply
    18,098x = 27,011 × 27,011
  4. Step 4: Simplify right side
    18,098x = 729,594,121
  5. Step 5: Solve for x
    x = 729,594,121/18,098
  6. Step 6: Final answer
    x = 40,313.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.