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Finding the Third Proportional to 4,652.44 and 10,123.73

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Solution

The third proportional to 4,652.44 and 10,123.73 is: 22,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.44 : 10,123.73 = 10,123.73 : x
  2. Step 2: Convert to fraction form
    4,652.44/10,123.73 = 10,123.73/x
  3. Step 3: Cross multiply
    4,652.44x = 10,123.73 × 10,123.73
  4. Step 4: Simplify right side
    4,652.44x = 102,489,997.70
  5. Step 5: Solve for x
    x = 102,489,997.70/4,652.44
  6. Step 6: Final answer
    x = 22,029.31

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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.