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Finding the Third Proportional to 8,264 and 17,196

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Solution

The third proportional to 8,264 and 17,196 is: 35,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264 : 17,196 = 17,196 : x
  2. Step 2: Convert to fraction form
    8,264/17,196 = 17,196/x
  3. Step 3: Cross multiply
    8,264x = 17,196 × 17,196
  4. Step 4: Simplify right side
    8,264x = 295,702,416
  5. Step 5: Solve for x
    x = 295,702,416/8,264
  6. Step 6: Final answer
    x = 35,782.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.