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Finding the Third Proportional to 36,330.75 and 77,064.75

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Solution

The third proportional to 36,330.75 and 77,064.75 is: 163,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,330.75 : 77,064.75 = 77,064.75 : x
  2. Step 2: Convert to fraction form
    36,330.75/77,064.75 = 77,064.75/x
  3. Step 3: Cross multiply
    36,330.75x = 77,064.75 × 77,064.75
  4. Step 4: Simplify right side
    36,330.75x = 5,938,975,692.56
  5. Step 5: Solve for x
    x = 5,938,975,692.56/36,330.75
  6. Step 6: Final answer
    x = 163,469.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.