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Finding the Third Proportional to 20,865 and 42,942

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Solution

The third proportional to 20,865 and 42,942 is: 88,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865 : 42,942 = 42,942 : x
  2. Step 2: Convert to fraction form
    20,865/42,942 = 42,942/x
  3. Step 3: Cross multiply
    20,865x = 42,942 × 42,942
  4. Step 4: Simplify right side
    20,865x = 1,844,015,364
  5. Step 5: Solve for x
    x = 1,844,015,364/20,865
  6. Step 6: Final answer
    x = 88,378.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.