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Finding the Third Proportional to 5,411.53 and 8,117.44

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Solution

The third proportional to 5,411.53 and 8,117.44 is: 12,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.53 : 8,117.44 = 8,117.44 : x
  2. Step 2: Convert to fraction form
    5,411.53/8,117.44 = 8,117.44/x
  3. Step 3: Cross multiply
    5,411.53x = 8,117.44 × 8,117.44
  4. Step 4: Simplify right side
    5,411.53x = 65,892,791.57
  5. Step 5: Solve for x
    x = 65,892,791.57/5,411.53
  6. Step 6: Final answer
    x = 12,176.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.