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Finding the Third Proportional to 6,223.50 and 11,880

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Solution

The third proportional to 6,223.50 and 11,880 is: 22,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.50 : 11,880 = 11,880 : x
  2. Step 2: Convert to fraction form
    6,223.50/11,880 = 11,880/x
  3. Step 3: Cross multiply
    6,223.50x = 11,880 × 11,880
  4. Step 4: Simplify right side
    6,223.50x = 141,134,400
  5. Step 5: Solve for x
    x = 141,134,400/6,223.50
  6. Step 6: Final answer
    x = 22,677.66

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.