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Finding the Third Proportional to 21,076 and 42,884

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Solution

The third proportional to 21,076 and 42,884 is: 87,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076 : 42,884 = 42,884 : x
  2. Step 2: Convert to fraction form
    21,076/42,884 = 42,884/x
  3. Step 3: Cross multiply
    21,076x = 42,884 × 42,884
  4. Step 4: Simplify right side
    21,076x = 1,839,037,456
  5. Step 5: Solve for x
    x = 1,839,037,456/21,076
  6. Step 6: Final answer
    x = 87,257.42

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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.