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Finding the Third Proportional to 11,869 and 16,961.50

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Solution

The third proportional to 11,869 and 16,961.50 is: 24,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869 : 16,961.50 = 16,961.50 : x
  2. Step 2: Convert to fraction form
    11,869/16,961.50 = 16,961.50/x
  3. Step 3: Cross multiply
    11,869x = 16,961.50 × 16,961.50
  4. Step 4: Simplify right side
    11,869x = 287,692,482.25
  5. Step 5: Solve for x
    x = 287,692,482.25/11,869
  6. Step 6: Final answer
    x = 24,238.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.