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Finding the Third Proportional to 5,385.23 and 8,083.55

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Solution

The third proportional to 5,385.23 and 8,083.55 is: 12,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.23 : 8,083.55 = 8,083.55 : x
  2. Step 2: Convert to fraction form
    5,385.23/8,083.55 = 8,083.55/x
  3. Step 3: Cross multiply
    5,385.23x = 8,083.55 × 8,083.55
  4. Step 4: Simplify right side
    5,385.23x = 65,343,730.08
  5. Step 5: Solve for x
    x = 65,343,730.08/5,385.23
  6. Step 6: Final answer
    x = 12,133.87

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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.