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Finding the Third Proportional to 50,404.50 and 74,457.25

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Solution

The third proportional to 50,404.50 and 74,457.25 is: 109,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,404.50 : 74,457.25 = 74,457.25 : x
  2. Step 2: Convert to fraction form
    50,404.50/74,457.25 = 74,457.25/x
  3. Step 3: Cross multiply
    50,404.50x = 74,457.25 × 74,457.25
  4. Step 4: Simplify right side
    50,404.50x = 5,543,882,077.56
  5. Step 5: Solve for x
    x = 5,543,882,077.56/50,404.50
  6. Step 6: Final answer
    x = 109,987.84

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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.