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Finding the Third Proportional to 4,622.06 and 10,650.94

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Solution

The third proportional to 4,622.06 and 10,650.94 is: 24,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.06 : 10,650.94 = 10,650.94 : x
  2. Step 2: Convert to fraction form
    4,622.06/10,650.94 = 10,650.94/x
  3. Step 3: Cross multiply
    4,622.06x = 10,650.94 × 10,650.94
  4. Step 4: Simplify right side
    4,622.06x = 113,442,469.63
  5. Step 5: Solve for x
    x = 113,442,469.63/4,622.06
  6. Step 6: Final answer
    x = 24,543.69

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.