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Finding the Third Proportional to 8,196 and 17,604

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Solution

The third proportional to 8,196 and 17,604 is: 37,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196 : 17,604 = 17,604 : x
  2. Step 2: Convert to fraction form
    8,196/17,604 = 17,604/x
  3. Step 3: Cross multiply
    8,196x = 17,604 × 17,604
  4. Step 4: Simplify right side
    8,196x = 309,900,816
  5. Step 5: Solve for x
    x = 309,900,816/8,196
  6. Step 6: Final answer
    x = 37,811.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.