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Finding the Third Proportional to 18,537 and 27,315.75

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Solution

The third proportional to 18,537 and 27,315.75 is: 40,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537 : 27,315.75 = 27,315.75 : x
  2. Step 2: Convert to fraction form
    18,537/27,315.75 = 27,315.75/x
  3. Step 3: Cross multiply
    18,537x = 27,315.75 × 27,315.75
  4. Step 4: Simplify right side
    18,537x = 746,150,198.06
  5. Step 5: Solve for x
    x = 746,150,198.06/18,537
  6. Step 6: Final answer
    x = 40,251.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.