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Finding the Third Proportional to 11,999 and 24,770

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Solution

The third proportional to 11,999 and 24,770 is: 51,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999 : 24,770 = 24,770 : x
  2. Step 2: Convert to fraction form
    11,999/24,770 = 24,770/x
  3. Step 3: Cross multiply
    11,999x = 24,770 × 24,770
  4. Step 4: Simplify right side
    11,999x = 613,552,900
  5. Step 5: Solve for x
    x = 613,552,900/11,999
  6. Step 6: Final answer
    x = 51,133.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.