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Finding the Third Proportional to 18,013 and 37,853

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Solution

The third proportional to 18,013 and 37,853 is: 79,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,013 : 37,853 = 37,853 : x
  2. Step 2: Convert to fraction form
    18,013/37,853 = 37,853/x
  3. Step 3: Cross multiply
    18,013x = 37,853 × 37,853
  4. Step 4: Simplify right side
    18,013x = 1,432,849,609
  5. Step 5: Solve for x
    x = 1,432,849,609/18,013
  6. Step 6: Final answer
    x = 79,545.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.