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Finding the Third Proportional to 11,463.40 and 24,170.27

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Solution

The third proportional to 11,463.40 and 24,170.27 is: 50,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.40 : 24,170.27 = 24,170.27 : x
  2. Step 2: Convert to fraction form
    11,463.40/24,170.27 = 24,170.27/x
  3. Step 3: Cross multiply
    11,463.40x = 24,170.27 × 24,170.27
  4. Step 4: Simplify right side
    11,463.40x = 584,202,118.04
  5. Step 5: Solve for x
    x = 584,202,118.04/11,463.40
  6. Step 6: Final answer
    x = 50,962.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.