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Finding the Third Proportional to 8,196 and 9,284

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Solution

The third proportional to 8,196 and 9,284 is: 10,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196 : 9,284 = 9,284 : x
  2. Step 2: Convert to fraction form
    8,196/9,284 = 9,284/x
  3. Step 3: Cross multiply
    8,196x = 9,284 × 9,284
  4. Step 4: Simplify right side
    8,196x = 86,192,656
  5. Step 5: Solve for x
    x = 86,192,656/8,196
  6. Step 6: Final answer
    x = 10,516.43

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.