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Finding the Third Proportional to 8,192 and 19,241

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Solution

The third proportional to 8,192 and 19,241 is: 45,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192 : 19,241 = 19,241 : x
  2. Step 2: Convert to fraction form
    8,192/19,241 = 19,241/x
  3. Step 3: Cross multiply
    8,192x = 19,241 × 19,241
  4. Step 4: Simplify right side
    8,192x = 370,216,081
  5. Step 5: Solve for x
    x = 370,216,081/8,192
  6. Step 6: Final answer
    x = 45,192.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.