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Finding the Third Proportional to 13,869 and 29,965.50

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Solution

The third proportional to 13,869 and 29,965.50 is: 64,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869 : 29,965.50 = 29,965.50 : x
  2. Step 2: Convert to fraction form
    13,869/29,965.50 = 29,965.50/x
  3. Step 3: Cross multiply
    13,869x = 29,965.50 × 29,965.50
  4. Step 4: Simplify right side
    13,869x = 897,931,190.25
  5. Step 5: Solve for x
    x = 897,931,190.25/13,869
  6. Step 6: Final answer
    x = 64,743.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.