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Finding the Third Proportional to 5,642 and 8,245

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Solution

The third proportional to 5,642 and 8,245 is: 12,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642 : 8,245 = 8,245 : x
  2. Step 2: Convert to fraction form
    5,642/8,245 = 8,245/x
  3. Step 3: Cross multiply
    5,642x = 8,245 × 8,245
  4. Step 4: Simplify right side
    5,642x = 67,980,025
  5. Step 5: Solve for x
    x = 67,980,025/5,642
  6. Step 6: Final answer
    x = 12,048.92

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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.