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Finding the Third Proportional to 44,019 and 59,764.50

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Solution

The third proportional to 44,019 and 59,764.50 is: 81,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,019 : 59,764.50 = 59,764.50 : x
  2. Step 2: Convert to fraction form
    44,019/59,764.50 = 59,764.50/x
  3. Step 3: Cross multiply
    44,019x = 59,764.50 × 59,764.50
  4. Step 4: Simplify right side
    44,019x = 3,571,795,460.25
  5. Step 5: Solve for x
    x = 3,571,795,460.25/44,019
  6. Step 6: Final answer
    x = 81,142.13

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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.