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Finding the Third Proportional to 37,999.75 and 57,019.75

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Solution

The third proportional to 37,999.75 and 57,019.75 is: 85,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999.75 : 57,019.75 = 57,019.75 : x
  2. Step 2: Convert to fraction form
    37,999.75/57,019.75 = 57,019.75/x
  3. Step 3: Cross multiply
    37,999.75x = 57,019.75 × 57,019.75
  4. Step 4: Simplify right side
    37,999.75x = 3,251,251,890.06
  5. Step 5: Solve for x
    x = 3,251,251,890.06/37,999.75
  6. Step 6: Final answer
    x = 85,559.82

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1.5x scale

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.