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Finding the Third Proportional to 34,735.50 and 49,186.50

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Solution

The third proportional to 34,735.50 and 49,186.50 is: 69,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,735.50 : 49,186.50 = 49,186.50 : x
  2. Step 2: Convert to fraction form
    34,735.50/49,186.50 = 49,186.50/x
  3. Step 3: Cross multiply
    34,735.50x = 49,186.50 × 49,186.50
  4. Step 4: Simplify right side
    34,735.50x = 2,419,311,782.25
  5. Step 5: Solve for x
    x = 2,419,311,782.25/34,735.50
  6. Step 6: Final answer
    x = 69,649.55

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.