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Finding the Third Proportional to 4,206.94 and 6,600.09

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Solution

The third proportional to 4,206.94 and 6,600.09 is: 10,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.94 : 6,600.09 = 6,600.09 : x
  2. Step 2: Convert to fraction form
    4,206.94/6,600.09 = 6,600.09/x
  3. Step 3: Cross multiply
    4,206.94x = 6,600.09 × 6,600.09
  4. Step 4: Simplify right side
    4,206.94x = 43,561,237.51
  5. Step 5: Solve for x
    x = 43,561,237.51/4,206.94
  6. Step 6: Final answer
    x = 10,354.62

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