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Finding the Third Proportional to 9,819 and 21,216.75

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Solution

The third proportional to 9,819 and 21,216.75 is: 45,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819 : 21,216.75 = 21,216.75 : x
  2. Step 2: Convert to fraction form
    9,819/21,216.75 = 21,216.75/x
  3. Step 3: Cross multiply
    9,819x = 21,216.75 × 21,216.75
  4. Step 4: Simplify right side
    9,819x = 450,150,480.56
  5. Step 5: Solve for x
    x = 450,150,480.56/9,819
  6. Step 6: Final answer
    x = 45,844.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.