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Finding the Third Proportional to 36,166 and 55,660

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Solution

The third proportional to 36,166 and 55,660 is: 85,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,166 : 55,660 = 55,660 : x
  2. Step 2: Convert to fraction form
    36,166/55,660 = 55,660/x
  3. Step 3: Cross multiply
    36,166x = 55,660 × 55,660
  4. Step 4: Simplify right side
    36,166x = 3,098,035,600
  5. Step 5: Solve for x
    x = 3,098,035,600/36,166
  6. Step 6: Final answer
    x = 85,661.55

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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.