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Finding the Third Proportional to 18,498 and 27,090

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Solution

The third proportional to 18,498 and 27,090 is: 39,672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,498 : 27,090 = 27,090 : x
  2. Step 2: Convert to fraction form
    18,498/27,090 = 27,090/x
  3. Step 3: Cross multiply
    18,498x = 27,090 × 27,090
  4. Step 4: Simplify right side
    18,498x = 733,868,100
  5. Step 5: Solve for x
    x = 733,868,100/18,498
  6. Step 6: Final answer
    x = 39,672.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.