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Finding the Third Proportional to 20,438 and 42,340

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Solution

The third proportional to 20,438 and 42,340 is: 87,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438 : 42,340 = 42,340 : x
  2. Step 2: Convert to fraction form
    20,438/42,340 = 42,340/x
  3. Step 3: Cross multiply
    20,438x = 42,340 × 42,340
  4. Step 4: Simplify right side
    20,438x = 1,792,675,600
  5. Step 5: Solve for x
    x = 1,792,675,600/20,438
  6. Step 6: Final answer
    x = 87,712.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.