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Finding the Third Proportional to 17,537 and 38,530

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Solution

The third proportional to 17,537 and 38,530 is: 84,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537 : 38,530 = 38,530 : x
  2. Step 2: Convert to fraction form
    17,537/38,530 = 38,530/x
  3. Step 3: Cross multiply
    17,537x = 38,530 × 38,530
  4. Step 4: Simplify right side
    17,537x = 1,484,560,900
  5. Step 5: Solve for x
    x = 1,484,560,900/17,537
  6. Step 6: Final answer
    x = 84,653.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.