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Finding the Third Proportional to 18,464 and 40,016

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Solution

The third proportional to 18,464 and 40,016 is: 86,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,464 : 40,016 = 40,016 : x
  2. Step 2: Convert to fraction form
    18,464/40,016 = 40,016/x
  3. Step 3: Cross multiply
    18,464x = 40,016 × 40,016
  4. Step 4: Simplify right side
    18,464x = 1,601,280,256
  5. Step 5: Solve for x
    x = 1,601,280,256/18,464
  6. Step 6: Final answer
    x = 86,724.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.