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Finding the Third Proportional to 30,194 and 45,219

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Solution

The third proportional to 30,194 and 45,219 is: 67,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194 : 45,219 = 45,219 : x
  2. Step 2: Convert to fraction form
    30,194/45,219 = 45,219/x
  3. Step 3: Cross multiply
    30,194x = 45,219 × 45,219
  4. Step 4: Simplify right side
    30,194x = 2,044,757,961
  5. Step 5: Solve for x
    x = 2,044,757,961/30,194
  6. Step 6: Final answer
    x = 67,720.67

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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.