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Finding the Third Proportional to 4,630.78 and 10,184.63

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Solution

The third proportional to 4,630.78 and 10,184.63 is: 22,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.78 : 10,184.63 = 10,184.63 : x
  2. Step 2: Convert to fraction form
    4,630.78/10,184.63 = 10,184.63/x
  3. Step 3: Cross multiply
    4,630.78x = 10,184.63 × 10,184.63
  4. Step 4: Simplify right side
    4,630.78x = 103,726,586.39
  5. Step 5: Solve for x
    x = 103,726,586.39/4,630.78
  6. Step 6: Final answer
    x = 22,399.37

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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.