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Finding the Third Proportional to 11,674.50 and 25,616.50

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Solution

The third proportional to 11,674.50 and 25,616.50 is: 56,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.50 : 25,616.50 = 25,616.50 : x
  2. Step 2: Convert to fraction form
    11,674.50/25,616.50 = 25,616.50/x
  3. Step 3: Cross multiply
    11,674.50x = 25,616.50 × 25,616.50
  4. Step 4: Simplify right side
    11,674.50x = 656,205,072.25
  5. Step 5: Solve for x
    x = 656,205,072.25/11,674.50
  6. Step 6: Final answer
    x = 56,208.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.