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Finding the Third Proportional to 33,261.75 and 48,606.75

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Solution

The third proportional to 33,261.75 and 48,606.75 is: 71,031.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,261.75 : 48,606.75 = 48,606.75 : x
  2. Step 2: Convert to fraction form
    33,261.75/48,606.75 = 48,606.75/x
  3. Step 3: Cross multiply
    33,261.75x = 48,606.75 × 48,606.75
  4. Step 4: Simplify right side
    33,261.75x = 2,362,616,145.56
  5. Step 5: Solve for x
    x = 2,362,616,145.56/33,261.75
  6. Step 6: Final answer
    x = 71,031.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.