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Finding the Third Proportional to 4,640.63 and 10,204.31

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Solution

The third proportional to 4,640.63 and 10,204.31 is: 22,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.63 : 10,204.31 = 10,204.31 : x
  2. Step 2: Convert to fraction form
    4,640.63/10,204.31 = 10,204.31/x
  3. Step 3: Cross multiply
    4,640.63x = 10,204.31 × 10,204.31
  4. Step 4: Simplify right side
    4,640.63x = 104,127,993.60
  5. Step 5: Solve for x
    x = 104,127,993.60/4,640.63
  6. Step 6: Final answer
    x = 22,438.36

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