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Finding the Third Proportional to 5,113.13 and 5,614.31

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Solution

The third proportional to 5,113.13 and 5,614.31 is: 6,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.13 : 5,614.31 = 5,614.31 : x
  2. Step 2: Convert to fraction form
    5,113.13/5,614.31 = 5,614.31/x
  3. Step 3: Cross multiply
    5,113.13x = 5,614.31 × 5,614.31
  4. Step 4: Simplify right side
    5,113.13x = 31,520,504.85
  5. Step 5: Solve for x
    x = 31,520,504.85/5,113.13
  6. Step 6: Final answer
    x = 6,164.63

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.