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Finding the Third Proportional to 6,555.09 and 14,004.56

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Solution

The third proportional to 6,555.09 and 14,004.56 is: 29,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.09 : 14,004.56 = 14,004.56 : x
  2. Step 2: Convert to fraction form
    6,555.09/14,004.56 = 14,004.56/x
  3. Step 3: Cross multiply
    6,555.09x = 14,004.56 × 14,004.56
  4. Step 4: Simplify right side
    6,555.09x = 196,127,770.82
  5. Step 5: Solve for x
    x = 196,127,770.82/6,555.09
  6. Step 6: Final answer
    x = 29,919.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.