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Finding the Third Proportional to 12,021.75 and 17,020.13

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Solution

The third proportional to 12,021.75 and 17,020.13 is: 24,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.75 : 17,020.13 = 17,020.13 : x
  2. Step 2: Convert to fraction form
    12,021.75/17,020.13 = 17,020.13/x
  3. Step 3: Cross multiply
    12,021.75x = 17,020.13 × 17,020.13
  4. Step 4: Simplify right side
    12,021.75x = 289,684,655.02
  5. Step 5: Solve for x
    x = 289,684,655.02/12,021.75
  6. Step 6: Final answer
    x = 24,096.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.