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Finding the Third Proportional to 21,142.22 and 46,469.44

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Solution

The third proportional to 21,142.22 and 46,469.44 is: 102,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.22 : 46,469.44 = 46,469.44 : x
  2. Step 2: Convert to fraction form
    21,142.22/46,469.44 = 46,469.44/x
  3. Step 3: Cross multiply
    21,142.22x = 46,469.44 × 46,469.44
  4. Step 4: Simplify right side
    21,142.22x = 2,159,408,621.57
  5. Step 5: Solve for x
    x = 2,159,408,621.57/21,142.22
  6. Step 6: Final answer
    x = 102,137.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.