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Finding the Third Proportional to 42,744 and 66,355.50

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Solution

The third proportional to 42,744 and 66,355.50 is: 103,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,744 : 66,355.50 = 66,355.50 : x
  2. Step 2: Convert to fraction form
    42,744/66,355.50 = 66,355.50/x
  3. Step 3: Cross multiply
    42,744x = 66,355.50 × 66,355.50
  4. Step 4: Simplify right side
    42,744x = 4,403,052,380.25
  5. Step 5: Solve for x
    x = 4,403,052,380.25/42,744
  6. Step 6: Final answer
    x = 103,009.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.