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Finding the Third Proportional to 18,250 and 26,372

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Solution

The third proportional to 18,250 and 26,372 is: 38,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,250 : 26,372 = 26,372 : x
  2. Step 2: Convert to fraction form
    18,250/26,372 = 26,372/x
  3. Step 3: Cross multiply
    18,250x = 26,372 × 26,372
  4. Step 4: Simplify right side
    18,250x = 695,482,384
  5. Step 5: Solve for x
    x = 695,482,384/18,250
  6. Step 6: Final answer
    x = 38,108.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.