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Finding the Third Proportional to 18,632 and 40,168

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Solution

The third proportional to 18,632 and 40,168 is: 86,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,632 : 40,168 = 40,168 : x
  2. Step 2: Convert to fraction form
    18,632/40,168 = 40,168/x
  3. Step 3: Cross multiply
    18,632x = 40,168 × 40,168
  4. Step 4: Simplify right side
    18,632x = 1,613,468,224
  5. Step 5: Solve for x
    x = 1,613,468,224/18,632
  6. Step 6: Final answer
    x = 86,596.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.