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Finding the Third Proportional to 43,869 and 59,971.50

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Solution

The third proportional to 43,869 and 59,971.50 is: 81,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,869 : 59,971.50 = 59,971.50 : x
  2. Step 2: Convert to fraction form
    43,869/59,971.50 = 59,971.50/x
  3. Step 3: Cross multiply
    43,869x = 59,971.50 × 59,971.50
  4. Step 4: Simplify right side
    43,869x = 3,596,580,812.25
  5. Step 5: Solve for x
    x = 3,596,580,812.25/43,869
  6. Step 6: Final answer
    x = 81,984.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.