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Finding the Third Proportional to 14,019 and 30,225

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Solution

The third proportional to 14,019 and 30,225 is: 65,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019 : 30,225 = 30,225 : x
  2. Step 2: Convert to fraction form
    14,019/30,225 = 30,225/x
  3. Step 3: Cross multiply
    14,019x = 30,225 × 30,225
  4. Step 4: Simplify right side
    14,019x = 913,550,625
  5. Step 5: Solve for x
    x = 913,550,625/14,019
  6. Step 6: Final answer
    x = 65,165.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.