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Finding the Third Proportional to 8,420.06 and 13,222.69

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Solution

The third proportional to 8,420.06 and 13,222.69 is: 20,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.06 : 13,222.69 = 13,222.69 : x
  2. Step 2: Convert to fraction form
    8,420.06/13,222.69 = 13,222.69/x
  3. Step 3: Cross multiply
    8,420.06x = 13,222.69 × 13,222.69
  4. Step 4: Simplify right side
    8,420.06x = 174,839,464.72
  5. Step 5: Solve for x
    x = 174,839,464.72/8,420.06
  6. Step 6: Final answer
    x = 20,764.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.