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Finding the Third Proportional to 38,037 and 57,172.50

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Solution

The third proportional to 38,037 and 57,172.50 is: 85,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,037 : 57,172.50 = 57,172.50 : x
  2. Step 2: Convert to fraction form
    38,037/57,172.50 = 57,172.50/x
  3. Step 3: Cross multiply
    38,037x = 57,172.50 × 57,172.50
  4. Step 4: Simplify right side
    38,037x = 3,268,694,756.25
  5. Step 5: Solve for x
    x = 3,268,694,756.25/38,037
  6. Step 6: Final answer
    x = 85,934.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.