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Finding the Third Proportional to 14,163 and 30,787

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Solution

The third proportional to 14,163 and 30,787 is: 66,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163 : 30,787 = 30,787 : x
  2. Step 2: Convert to fraction form
    14,163/30,787 = 30,787/x
  3. Step 3: Cross multiply
    14,163x = 30,787 × 30,787
  4. Step 4: Simplify right side
    14,163x = 947,839,369
  5. Step 5: Solve for x
    x = 947,839,369/14,163
  6. Step 6: Final answer
    x = 66,923.63

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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.