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Finding the Third Proportional to 8,204 and 9,056

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Solution

The third proportional to 8,204 and 9,056 is: 9,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204 : 9,056 = 9,056 : x
  2. Step 2: Convert to fraction form
    8,204/9,056 = 9,056/x
  3. Step 3: Cross multiply
    8,204x = 9,056 × 9,056
  4. Step 4: Simplify right side
    8,204x = 82,011,136
  5. Step 5: Solve for x
    x = 82,011,136/8,204
  6. Step 6: Final answer
    x = 9,996.48

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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.