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Finding the Third Proportional to 9,021.75 and 14,172.19

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Solution

The third proportional to 9,021.75 and 14,172.19 is: 22,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.75 : 14,172.19 = 14,172.19 : x
  2. Step 2: Convert to fraction form
    9,021.75/14,172.19 = 14,172.19/x
  3. Step 3: Cross multiply
    9,021.75x = 14,172.19 × 14,172.19
  4. Step 4: Simplify right side
    9,021.75x = 200,850,898.54
  5. Step 5: Solve for x
    x = 200,850,898.54/9,021.75
  6. Step 6: Final answer
    x = 22,262.96

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Why These Related Problems?

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