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Finding the Third Proportional to 4,429.69 and 12,036.09

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Solution

The third proportional to 4,429.69 and 12,036.09 is: 32,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429.69 : 12,036.09 = 12,036.09 : x
  2. Step 2: Convert to fraction form
    4,429.69/12,036.09 = 12,036.09/x
  3. Step 3: Cross multiply
    4,429.69x = 12,036.09 × 12,036.09
  4. Step 4: Simplify right side
    4,429.69x = 144,867,552.76
  5. Step 5: Solve for x
    x = 144,867,552.76/4,429.69
  6. Step 6: Final answer
    x = 32,703.79

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These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.