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Finding the Third Proportional to 11,081.50 and 23,720

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Solution

The third proportional to 11,081.50 and 23,720 is: 50,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,081.50 : 23,720 = 23,720 : x
  2. Step 2: Convert to fraction form
    11,081.50/23,720 = 23,720/x
  3. Step 3: Cross multiply
    11,081.50x = 23,720 × 23,720
  4. Step 4: Simplify right side
    11,081.50x = 562,638,400
  5. Step 5: Solve for x
    x = 562,638,400/11,081.50
  6. Step 6: Final answer
    x = 50,772.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.