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Finding the Third Proportional to 21,800 and 47,054

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Solution

The third proportional to 21,800 and 47,054 is: 101,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800 : 47,054 = 47,054 : x
  2. Step 2: Convert to fraction form
    21,800/47,054 = 47,054/x
  3. Step 3: Cross multiply
    21,800x = 47,054 × 47,054
  4. Step 4: Simplify right side
    21,800x = 2,214,078,916
  5. Step 5: Solve for x
    x = 2,214,078,916/21,800
  6. Step 6: Final answer
    x = 101,563.25

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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.