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Finding the Third Proportional to 7,019 and 14,843

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Solution

The third proportional to 7,019 and 14,843 is: 31,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019 : 14,843 = 14,843 : x
  2. Step 2: Convert to fraction form
    7,019/14,843 = 14,843/x
  3. Step 3: Cross multiply
    7,019x = 14,843 × 14,843
  4. Step 4: Simplify right side
    7,019x = 220,314,649
  5. Step 5: Solve for x
    x = 220,314,649/7,019
  6. Step 6: Final answer
    x = 31,388.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.