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Finding the Third Proportional to 20,901 and 42,342

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Solution

The third proportional to 20,901 and 42,342 is: 85,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901 : 42,342 = 42,342 : x
  2. Step 2: Convert to fraction form
    20,901/42,342 = 42,342/x
  3. Step 3: Cross multiply
    20,901x = 42,342 × 42,342
  4. Step 4: Simplify right side
    20,901x = 1,792,844,964
  5. Step 5: Solve for x
    x = 1,792,844,964/20,901
  6. Step 6: Final answer
    x = 85,777.95

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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.