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Finding the Third Proportional to 4,723.31 and 10,160.44

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Solution

The third proportional to 4,723.31 and 10,160.44 is: 21,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.31 : 10,160.44 = 10,160.44 : x
  2. Step 2: Convert to fraction form
    4,723.31/10,160.44 = 10,160.44/x
  3. Step 3: Cross multiply
    4,723.31x = 10,160.44 × 10,160.44
  4. Step 4: Simplify right side
    4,723.31x = 103,234,490.19
  5. Step 5: Solve for x
    x = 103,234,490.19/4,723.31
  6. Step 6: Final answer
    x = 21,856.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.