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Finding the Third Proportional to 5,614.31 and 7,305.19

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Solution

The third proportional to 5,614.31 and 7,305.19 is: 9,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.31 : 7,305.19 = 7,305.19 : x
  2. Step 2: Convert to fraction form
    5,614.31/7,305.19 = 7,305.19/x
  3. Step 3: Cross multiply
    5,614.31x = 7,305.19 × 7,305.19
  4. Step 4: Simplify right side
    5,614.31x = 53,365,764.41
  5. Step 5: Solve for x
    x = 53,365,764.41/5,614.31
  6. Step 6: Final answer
    x = 9,505.31

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.