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Finding the Third Proportional to 26,869 and 42,364.50

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Solution

The third proportional to 26,869 and 42,364.50 is: 66,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,869 : 42,364.50 = 42,364.50 : x
  2. Step 2: Convert to fraction form
    26,869/42,364.50 = 42,364.50/x
  3. Step 3: Cross multiply
    26,869x = 42,364.50 × 42,364.50
  4. Step 4: Simplify right side
    26,869x = 1,794,750,860.25
  5. Step 5: Solve for x
    x = 1,794,750,860.25/26,869
  6. Step 6: Final answer
    x = 66,796.34

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.