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Finding the Third Proportional to 15,101.44 and 22,189.83

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Solution

The third proportional to 15,101.44 and 22,189.83 is: 32,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.44 : 22,189.83 = 22,189.83 : x
  2. Step 2: Convert to fraction form
    15,101.44/22,189.83 = 22,189.83/x
  3. Step 3: Cross multiply
    15,101.44x = 22,189.83 × 22,189.83
  4. Step 4: Simplify right side
    15,101.44x = 492,388,732.25
  5. Step 5: Solve for x
    x = 492,388,732.25/15,101.44
  6. Step 6: Final answer
    x = 32,605.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.