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Finding the Third Proportional to 13,864 and 30,072

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Solution

The third proportional to 13,864 and 30,072 is: 65,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864 : 30,072 = 30,072 : x
  2. Step 2: Convert to fraction form
    13,864/30,072 = 30,072/x
  3. Step 3: Cross multiply
    13,864x = 30,072 × 30,072
  4. Step 4: Simplify right side
    13,864x = 904,325,184
  5. Step 5: Solve for x
    x = 904,325,184/13,864
  6. Step 6: Final answer
    x = 65,228.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.