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Finding the Third Proportional to 25,869 and 39,328.50

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Solution

The third proportional to 25,869 and 39,328.50 is: 59,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,869 : 39,328.50 = 39,328.50 : x
  2. Step 2: Convert to fraction form
    25,869/39,328.50 = 39,328.50/x
  3. Step 3: Cross multiply
    25,869x = 39,328.50 × 39,328.50
  4. Step 4: Simplify right side
    25,869x = 1,546,730,912.25
  5. Step 5: Solve for x
    x = 1,546,730,912.25/25,869
  6. Step 6: Final answer
    x = 59,790.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.