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Finding the Third Proportional to 9,537 and 20,163

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Solution

The third proportional to 9,537 and 20,163 is: 42,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537 : 20,163 = 20,163 : x
  2. Step 2: Convert to fraction form
    9,537/20,163 = 20,163/x
  3. Step 3: Cross multiply
    9,537x = 20,163 × 20,163
  4. Step 4: Simplify right side
    9,537x = 406,546,569
  5. Step 5: Solve for x
    x = 406,546,569/9,537
  6. Step 6: Final answer
    x = 42,628.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.