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Finding the Third Proportional to 9,081.56 and 20,289.38

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Solution

The third proportional to 9,081.56 and 20,289.38 is: 45,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081.56 : 20,289.38 = 20,289.38 : x
  2. Step 2: Convert to fraction form
    9,081.56/20,289.38 = 20,289.38/x
  3. Step 3: Cross multiply
    9,081.56x = 20,289.38 × 20,289.38
  4. Step 4: Simplify right side
    9,081.56x = 411,658,737.89
  5. Step 5: Solve for x
    x = 411,658,737.89/9,081.56
  6. Step 6: Final answer
    x = 45,329.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.