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Finding the Third Proportional to 49,809 and 74,550

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Solution

The third proportional to 49,809 and 74,550 is: 111,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,809 : 74,550 = 74,550 : x
  2. Step 2: Convert to fraction form
    49,809/74,550 = 74,550/x
  3. Step 3: Cross multiply
    49,809x = 74,550 × 74,550
  4. Step 4: Simplify right side
    49,809x = 5,557,702,500
  5. Step 5: Solve for x
    x = 5,557,702,500/49,809
  6. Step 6: Final answer
    x = 111,580.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.