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Finding the Third Proportional to 20,223 and 42,540

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Solution

The third proportional to 20,223 and 42,540 is: 89,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,223 : 42,540 = 42,540 : x
  2. Step 2: Convert to fraction form
    20,223/42,540 = 42,540/x
  3. Step 3: Cross multiply
    20,223x = 42,540 × 42,540
  4. Step 4: Simplify right side
    20,223x = 1,809,651,600
  5. Step 5: Solve for x
    x = 1,809,651,600/20,223
  6. Step 6: Final answer
    x = 89,484.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.