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Finding the Third Proportional to 9,415.13 and 20,469.94

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Solution

The third proportional to 9,415.13 and 20,469.94 is: 44,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.13 : 20,469.94 = 20,469.94 : x
  2. Step 2: Convert to fraction form
    9,415.13/20,469.94 = 20,469.94/x
  3. Step 3: Cross multiply
    9,415.13x = 20,469.94 × 20,469.94
  4. Step 4: Simplify right side
    9,415.13x = 419,018,341.25
  5. Step 5: Solve for x
    x = 419,018,341.25/9,415.13
  6. Step 6: Final answer
    x = 44,504.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.