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Finding the Third Proportional to 6,620.06 and 14,251.78

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Solution

The third proportional to 6,620.06 and 14,251.78 is: 30,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620.06 : 14,251.78 = 14,251.78 : x
  2. Step 2: Convert to fraction form
    6,620.06/14,251.78 = 14,251.78/x
  3. Step 3: Cross multiply
    6,620.06x = 14,251.78 × 14,251.78
  4. Step 4: Simplify right side
    6,620.06x = 203,113,268.80
  5. Step 5: Solve for x
    x = 203,113,268.80/6,620.06
  6. Step 6: Final answer
    x = 30,681.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.