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Finding the Third Proportional to 20,808 and 42,584

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Solution

The third proportional to 20,808 and 42,584 is: 87,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808 : 42,584 = 42,584 : x
  2. Step 2: Convert to fraction form
    20,808/42,584 = 42,584/x
  3. Step 3: Cross multiply
    20,808x = 42,584 × 42,584
  4. Step 4: Simplify right side
    20,808x = 1,813,397,056
  5. Step 5: Solve for x
    x = 1,813,397,056/20,808
  6. Step 6: Final answer
    x = 87,149.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.