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Finding the Third Proportional to 38,880 and 75,883.50

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Solution

The third proportional to 38,880 and 75,883.50 is: 148,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,880 : 75,883.50 = 75,883.50 : x
  2. Step 2: Convert to fraction form
    38,880/75,883.50 = 75,883.50/x
  3. Step 3: Cross multiply
    38,880x = 75,883.50 × 75,883.50
  4. Step 4: Simplify right side
    38,880x = 5,758,305,572.25
  5. Step 5: Solve for x
    x = 5,758,305,572.25/38,880
  6. Step 6: Final answer
    x = 148,104.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.