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Finding the Third Proportional to 21,814 and 47,110

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Solution

The third proportional to 21,814 and 47,110 is: 101,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814 : 47,110 = 47,110 : x
  2. Step 2: Convert to fraction form
    21,814/47,110 = 47,110/x
  3. Step 3: Cross multiply
    21,814x = 47,110 × 47,110
  4. Step 4: Simplify right side
    21,814x = 2,219,352,100
  5. Step 5: Solve for x
    x = 2,219,352,100/21,814
  6. Step 6: Final answer
    x = 101,739.80

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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.