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Finding the Third Proportional to 5,471.30 and 9,342.21

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Solution

The third proportional to 5,471.30 and 9,342.21 is: 15,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.30 : 9,342.21 = 9,342.21 : x
  2. Step 2: Convert to fraction form
    5,471.30/9,342.21 = 9,342.21/x
  3. Step 3: Cross multiply
    5,471.30x = 9,342.21 × 9,342.21
  4. Step 4: Simplify right side
    5,471.30x = 87,276,905.20
  5. Step 5: Solve for x
    x = 87,276,905.20/5,471.30
  6. Step 6: Final answer
    x = 15,951.78

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.