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Finding the Third Proportional to 40,641 and 55,366.50

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Solution

The third proportional to 40,641 and 55,366.50 is: 75,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,641 : 55,366.50 = 55,366.50 : x
  2. Step 2: Convert to fraction form
    40,641/55,366.50 = 55,366.50/x
  3. Step 3: Cross multiply
    40,641x = 55,366.50 × 55,366.50
  4. Step 4: Simplify right side
    40,641x = 3,065,449,322.25
  5. Step 5: Solve for x
    x = 3,065,449,322.25/40,641
  6. Step 6: Final answer
    x = 75,427.51

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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.