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Finding the Third Proportional to 27,166 and 41,037

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Solution

The third proportional to 27,166 and 41,037 is: 61,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,166 : 41,037 = 41,037 : x
  2. Step 2: Convert to fraction form
    27,166/41,037 = 41,037/x
  3. Step 3: Cross multiply
    27,166x = 41,037 × 41,037
  4. Step 4: Simplify right side
    27,166x = 1,684,035,369
  5. Step 5: Solve for x
    x = 1,684,035,369/27,166
  6. Step 6: Final answer
    x = 61,990.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.