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Finding the Third Proportional to 33,368 and 44,942

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Solution

The third proportional to 33,368 and 44,942 is: 60,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,368 : 44,942 = 44,942 : x
  2. Step 2: Convert to fraction form
    33,368/44,942 = 44,942/x
  3. Step 3: Cross multiply
    33,368x = 44,942 × 44,942
  4. Step 4: Simplify right side
    33,368x = 2,019,783,364
  5. Step 5: Solve for x
    x = 2,019,783,364/33,368
  6. Step 6: Final answer
    x = 60,530.55

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.