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Finding the Third Proportional to 4,212.75 and 6,167.06

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Solution

The third proportional to 4,212.75 and 6,167.06 is: 9,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.75 : 6,167.06 = 6,167.06 : x
  2. Step 2: Convert to fraction form
    4,212.75/6,167.06 = 6,167.06/x
  3. Step 3: Cross multiply
    4,212.75x = 6,167.06 × 6,167.06
  4. Step 4: Simplify right side
    4,212.75x = 38,032,659.88
  5. Step 5: Solve for x
    x = 38,032,659.88/4,212.75
  6. Step 6: Final answer
    x = 9,027.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.