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Finding the Third Proportional to 20,824 and 47,108

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Solution

The third proportional to 20,824 and 47,108 is: 106,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824 : 47,108 = 47,108 : x
  2. Step 2: Convert to fraction form
    20,824/47,108 = 47,108/x
  3. Step 3: Cross multiply
    20,824x = 47,108 × 47,108
  4. Step 4: Simplify right side
    20,824x = 2,219,163,664
  5. Step 5: Solve for x
    x = 2,219,163,664/20,824
  6. Step 6: Final answer
    x = 106,567.60

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.