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Finding the Third Proportional to 36,176 and 39,632

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Solution

The third proportional to 36,176 and 39,632 is: 43,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,176 : 39,632 = 39,632 : x
  2. Step 2: Convert to fraction form
    36,176/39,632 = 39,632/x
  3. Step 3: Cross multiply
    36,176x = 39,632 × 39,632
  4. Step 4: Simplify right side
    36,176x = 1,570,695,424
  5. Step 5: Solve for x
    x = 1,570,695,424/36,176
  6. Step 6: Final answer
    x = 43,418.16

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.