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Finding the Third Proportional to 6,871 and 14,219

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Solution

The third proportional to 6,871 and 14,219 is: 29,425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871 : 14,219 = 14,219 : x
  2. Step 2: Convert to fraction form
    6,871/14,219 = 14,219/x
  3. Step 3: Cross multiply
    6,871x = 14,219 × 14,219
  4. Step 4: Simplify right side
    6,871x = 202,179,961
  5. Step 5: Solve for x
    x = 202,179,961/6,871
  6. Step 6: Final answer
    x = 29,425.11

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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.