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Finding the Third Proportional to 20,142 and 40,356

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Solution

The third proportional to 20,142 and 40,356 is: 80,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 40,356 = 40,356 : x
  2. Step 2: Convert to fraction form
    20,142/40,356 = 40,356/x
  3. Step 3: Cross multiply
    20,142x = 40,356 × 40,356
  4. Step 4: Simplify right side
    20,142x = 1,628,606,736
  5. Step 5: Solve for x
    x = 1,628,606,736/20,142
  6. Step 6: Final answer
    x = 80,856.26

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.