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Finding the Third Proportional to 34,407.75 and 48,453.75

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Solution

The third proportional to 34,407.75 and 48,453.75 is: 68,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,407.75 : 48,453.75 = 48,453.75 : x
  2. Step 2: Convert to fraction form
    34,407.75/48,453.75 = 48,453.75/x
  3. Step 3: Cross multiply
    34,407.75x = 48,453.75 × 48,453.75
  4. Step 4: Simplify right side
    34,407.75x = 2,347,765,889.06
  5. Step 5: Solve for x
    x = 2,347,765,889.06/34,407.75
  6. Step 6: Final answer
    x = 68,233.64

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.