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Finding the Third Proportional to 20,107 and 40,753

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Solution

The third proportional to 20,107 and 40,753 is: 82,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107 : 40,753 = 40,753 : x
  2. Step 2: Convert to fraction form
    20,107/40,753 = 40,753/x
  3. Step 3: Cross multiply
    20,107x = 40,753 × 40,753
  4. Step 4: Simplify right side
    20,107x = 1,660,807,009
  5. Step 5: Solve for x
    x = 1,660,807,009/20,107
  6. Step 6: Final answer
    x = 82,598.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.