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Finding the Third Proportional to 5,910 and 14,219

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Solution

The third proportional to 5,910 and 14,219 is: 34,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910 : 14,219 = 14,219 : x
  2. Step 2: Convert to fraction form
    5,910/14,219 = 14,219/x
  3. Step 3: Cross multiply
    5,910x = 14,219 × 14,219
  4. Step 4: Simplify right side
    5,910x = 202,179,961
  5. Step 5: Solve for x
    x = 202,179,961/5,910
  6. Step 6: Final answer
    x = 34,209.81

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.