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Finding the Third Proportional to 20,056 and 40,598

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Solution

The third proportional to 20,056 and 40,598 is: 82,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056 : 40,598 = 40,598 : x
  2. Step 2: Convert to fraction form
    20,056/40,598 = 40,598/x
  3. Step 3: Cross multiply
    20,056x = 40,598 × 40,598
  4. Step 4: Simplify right side
    20,056x = 1,648,197,604
  5. Step 5: Solve for x
    x = 1,648,197,604/20,056
  6. Step 6: Final answer
    x = 82,179.78

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.