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Finding the Third Proportional to 30,852 and 67,596.75

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Solution

The third proportional to 30,852 and 67,596.75 is: 148,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852 : 67,596.75 = 67,596.75 : x
  2. Step 2: Convert to fraction form
    30,852/67,596.75 = 67,596.75/x
  3. Step 3: Cross multiply
    30,852x = 67,596.75 × 67,596.75
  4. Step 4: Simplify right side
    30,852x = 4,569,320,610.56
  5. Step 5: Solve for x
    x = 4,569,320,610.56/30,852
  6. Step 6: Final answer
    x = 148,104.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.