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Finding the Third Proportional to 29,311.88 and 70,849.69

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Solution

The third proportional to 29,311.88 and 70,849.69 is: 171,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,311.88 : 70,849.69 = 70,849.69 : x
  2. Step 2: Convert to fraction form
    29,311.88/70,849.69 = 70,849.69/x
  3. Step 3: Cross multiply
    29,311.88x = 70,849.69 × 70,849.69
  4. Step 4: Simplify right side
    29,311.88x = 5,019,678,218.85
  5. Step 5: Solve for x
    x = 5,019,678,218.85/29,311.88
  6. Step 6: Final answer
    x = 171,250.67

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.