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Finding the Third Proportional to 5,397.10 and 11,614.32

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Solution

The third proportional to 5,397.10 and 11,614.32 is: 24,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.10 : 11,614.32 = 11,614.32 : x
  2. Step 2: Convert to fraction form
    5,397.10/11,614.32 = 11,614.32/x
  3. Step 3: Cross multiply
    5,397.10x = 11,614.32 × 11,614.32
  4. Step 4: Simplify right side
    5,397.10x = 134,892,527.06
  5. Step 5: Solve for x
    x = 134,892,527.06/5,397.10
  6. Step 6: Final answer
    x = 24,993.52

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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.