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Finding the Third Proportional to 22,869 and 34,069.50

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Solution

The third proportional to 22,869 and 34,069.50 is: 50,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,869 : 34,069.50 = 34,069.50 : x
  2. Step 2: Convert to fraction form
    22,869/34,069.50 = 34,069.50/x
  3. Step 3: Cross multiply
    22,869x = 34,069.50 × 34,069.50
  4. Step 4: Simplify right side
    22,869x = 1,160,730,830.25
  5. Step 5: Solve for x
    x = 1,160,730,830.25/22,869
  6. Step 6: Final answer
    x = 50,755.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.