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Finding the Third Proportional to 44,918 and 66,505

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Solution

The third proportional to 44,918 and 66,505 is: 98,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,918 : 66,505 = 66,505 : x
  2. Step 2: Convert to fraction form
    44,918/66,505 = 66,505/x
  3. Step 3: Cross multiply
    44,918x = 66,505 × 66,505
  4. Step 4: Simplify right side
    44,918x = 4,422,915,025
  5. Step 5: Solve for x
    x = 4,422,915,025/44,918
  6. Step 6: Final answer
    x = 98,466.43

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.