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Finding the Third Proportional to 9,537 and 20,314

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Solution

The third proportional to 9,537 and 20,314 is: 43,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537 : 20,314 = 20,314 : x
  2. Step 2: Convert to fraction form
    9,537/20,314 = 20,314/x
  3. Step 3: Cross multiply
    9,537x = 20,314 × 20,314
  4. Step 4: Simplify right side
    9,537x = 412,658,596
  5. Step 5: Solve for x
    x = 412,658,596/9,537
  6. Step 6: Final answer
    x = 43,269.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.