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Finding the Third Proportional to 5,344.69 and 8,222.06

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Solution

The third proportional to 5,344.69 and 8,222.06 is: 12,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.69 : 8,222.06 = 8,222.06 : x
  2. Step 2: Convert to fraction form
    5,344.69/8,222.06 = 8,222.06/x
  3. Step 3: Cross multiply
    5,344.69x = 8,222.06 × 8,222.06
  4. Step 4: Simplify right side
    5,344.69x = 67,602,311.75
  5. Step 5: Solve for x
    x = 67,602,311.75/5,344.69
  6. Step 6: Final answer
    x = 12,648.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.