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Finding the Third Proportional to 11,783 and 24,778

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Solution

The third proportional to 11,783 and 24,778 is: 52,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783 : 24,778 = 24,778 : x
  2. Step 2: Convert to fraction form
    11,783/24,778 = 24,778/x
  3. Step 3: Cross multiply
    11,783x = 24,778 × 24,778
  4. Step 4: Simplify right side
    11,783x = 613,949,284
  5. Step 5: Solve for x
    x = 613,949,284/11,783
  6. Step 6: Final answer
    x = 52,104.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.