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Finding the Third Proportional to 40,869 and 55,471.50

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Solution

The third proportional to 40,869 and 55,471.50 is: 75,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,869 : 55,471.50 = 55,471.50 : x
  2. Step 2: Convert to fraction form
    40,869/55,471.50 = 55,471.50/x
  3. Step 3: Cross multiply
    40,869x = 55,471.50 × 55,471.50
  4. Step 4: Simplify right side
    40,869x = 3,077,087,312.25
  5. Step 5: Solve for x
    x = 3,077,087,312.25/40,869
  6. Step 6: Final answer
    x = 75,291.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.