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Finding the Third Proportional to 36,337.25 and 75,408.25

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Solution

The third proportional to 36,337.25 and 75,408.25 is: 156,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,337.25 : 75,408.25 = 75,408.25 : x
  2. Step 2: Convert to fraction form
    36,337.25/75,408.25 = 75,408.25/x
  3. Step 3: Cross multiply
    36,337.25x = 75,408.25 × 75,408.25
  4. Step 4: Simplify right side
    36,337.25x = 5,686,404,168.06
  5. Step 5: Solve for x
    x = 5,686,404,168.06/36,337.25
  6. Step 6: Final answer
    x = 156,489.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.