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Finding the Third Proportional to 2,976 and 7,816

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Solution

The third proportional to 2,976 and 7,816 is: 20,527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976 : 7,816 = 7,816 : x
  2. Step 2: Convert to fraction form
    2,976/7,816 = 7,816/x
  3. Step 3: Cross multiply
    2,976x = 7,816 × 7,816
  4. Step 4: Simplify right side
    2,976x = 61,089,856
  5. Step 5: Solve for x
    x = 61,089,856/2,976
  6. Step 6: Final answer
    x = 20,527.51

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.