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Finding the Third Proportional to 33,340.50 and 48,693

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Solution

The third proportional to 33,340.50 and 48,693 is: 71,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,340.50 : 48,693 = 48,693 : x
  2. Step 2: Convert to fraction form
    33,340.50/48,693 = 48,693/x
  3. Step 3: Cross multiply
    33,340.50x = 48,693 × 48,693
  4. Step 4: Simplify right side
    33,340.50x = 2,371,008,249
  5. Step 5: Solve for x
    x = 2,371,008,249/33,340.50
  6. Step 6: Final answer
    x = 71,114.96

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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.