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Finding the Third Proportional to 27,197 and 41,816

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Solution

The third proportional to 27,197 and 41,816 is: 64,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197 : 41,816 = 41,816 : x
  2. Step 2: Convert to fraction form
    27,197/41,816 = 41,816/x
  3. Step 3: Cross multiply
    27,197x = 41,816 × 41,816
  4. Step 4: Simplify right side
    27,197x = 1,748,577,856
  5. Step 5: Solve for x
    x = 1,748,577,856/27,197
  6. Step 6: Final answer
    x = 64,293.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.