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Finding the Third Proportional to 10,869 and 16,297.50

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Solution

The third proportional to 10,869 and 16,297.50 is: 24,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869 : 16,297.50 = 16,297.50 : x
  2. Step 2: Convert to fraction form
    10,869/16,297.50 = 16,297.50/x
  3. Step 3: Cross multiply
    10,869x = 16,297.50 × 16,297.50
  4. Step 4: Simplify right side
    10,869x = 265,608,506.25
  5. Step 5: Solve for x
    x = 265,608,506.25/10,869
  6. Step 6: Final answer
    x = 24,437.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.