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Finding the Third Proportional to 30,223.50 and 66,477

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Solution

The third proportional to 30,223.50 and 66,477 is: 146,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.50 : 66,477 = 66,477 : x
  2. Step 2: Convert to fraction form
    30,223.50/66,477 = 66,477/x
  3. Step 3: Cross multiply
    30,223.50x = 66,477 × 66,477
  4. Step 4: Simplify right side
    30,223.50x = 4,419,191,529
  5. Step 5: Solve for x
    x = 4,419,191,529/30,223.50
  6. Step 6: Final answer
    x = 146,217.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.