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Finding the Third Proportional to 5,234.81 and 8,095.22

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Solution

The third proportional to 5,234.81 and 8,095.22 is: 12,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.81 : 8,095.22 = 8,095.22 : x
  2. Step 2: Convert to fraction form
    5,234.81/8,095.22 = 8,095.22/x
  3. Step 3: Cross multiply
    5,234.81x = 8,095.22 × 8,095.22
  4. Step 4: Simplify right side
    5,234.81x = 65,532,566.61
  5. Step 5: Solve for x
    x = 65,532,566.61/5,234.81
  6. Step 6: Final answer
    x = 12,518.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.