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Finding the Third Proportional to 44,642 and 60,629.50

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Solution

The third proportional to 44,642 and 60,629.50 is: 82,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,642 : 60,629.50 = 60,629.50 : x
  2. Step 2: Convert to fraction form
    44,642/60,629.50 = 60,629.50/x
  3. Step 3: Cross multiply
    44,642x = 60,629.50 × 60,629.50
  4. Step 4: Simplify right side
    44,642x = 3,675,936,270.25
  5. Step 5: Solve for x
    x = 3,675,936,270.25/44,642
  6. Step 6: Final answer
    x = 82,342.55

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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.