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Finding the Third Proportional to 5,632.13 and 8,234.19

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Solution

The third proportional to 5,632.13 and 8,234.19 is: 12,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.13 : 8,234.19 = 8,234.19 : x
  2. Step 2: Convert to fraction form
    5,632.13/8,234.19 = 8,234.19/x
  3. Step 3: Cross multiply
    5,632.13x = 8,234.19 × 8,234.19
  4. Step 4: Simplify right side
    5,632.13x = 67,801,843.79
  5. Step 5: Solve for x
    x = 67,801,843.79/5,632.13
  6. Step 6: Final answer
    x = 12,038.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.