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Finding the Third Proportional to 4,651.31 and 10,137.94

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Solution

The third proportional to 4,651.31 and 10,137.94 is: 22,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.31 : 10,137.94 = 10,137.94 : x
  2. Step 2: Convert to fraction form
    4,651.31/10,137.94 = 10,137.94/x
  3. Step 3: Cross multiply
    4,651.31x = 10,137.94 × 10,137.94
  4. Step 4: Simplify right side
    4,651.31x = 102,777,776.75
  5. Step 5: Solve for x
    x = 102,777,776.75/4,651.31
  6. Step 6: Final answer
    x = 22,096.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.