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Finding the Third Proportional to 21,816 and 47,114

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Solution

The third proportional to 21,816 and 47,114 is: 101,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816 : 47,114 = 47,114 : x
  2. Step 2: Convert to fraction form
    21,816/47,114 = 47,114/x
  3. Step 3: Cross multiply
    21,816x = 47,114 × 47,114
  4. Step 4: Simplify right side
    21,816x = 2,219,728,996
  5. Step 5: Solve for x
    x = 2,219,728,996/21,816
  6. Step 6: Final answer
    x = 101,747.75

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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.