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Finding the Third Proportional to 11,474.16 and 24,110.16

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Solution

The third proportional to 11,474.16 and 24,110.16 is: 50,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.16 : 24,110.16 = 24,110.16 : x
  2. Step 2: Convert to fraction form
    11,474.16/24,110.16 = 24,110.16/x
  3. Step 3: Cross multiply
    11,474.16x = 24,110.16 × 24,110.16
  4. Step 4: Simplify right side
    11,474.16x = 581,299,634.40
  5. Step 5: Solve for x
    x = 581,299,634.40/11,474.16
  6. Step 6: Final answer
    x = 50,661.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.