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Finding the Third Proportional to 8,509 and 9,337

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Solution

The third proportional to 8,509 and 9,337 is: 10,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509 : 9,337 = 9,337 : x
  2. Step 2: Convert to fraction form
    8,509/9,337 = 9,337/x
  3. Step 3: Cross multiply
    8,509x = 9,337 × 9,337
  4. Step 4: Simplify right side
    8,509x = 87,179,569
  5. Step 5: Solve for x
    x = 87,179,569/8,509
  6. Step 6: Final answer
    x = 10,245.57

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.