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Finding the Third Proportional to 33,099 and 46,300

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Solution

The third proportional to 33,099 and 46,300 is: 64,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099 : 46,300 = 46,300 : x
  2. Step 2: Convert to fraction form
    33,099/46,300 = 46,300/x
  3. Step 3: Cross multiply
    33,099x = 46,300 × 46,300
  4. Step 4: Simplify right side
    33,099x = 2,143,690,000
  5. Step 5: Solve for x
    x = 2,143,690,000/33,099
  6. Step 6: Final answer
    x = 64,766.01

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.