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Finding the Third Proportional to 2,116 and 4,556.75

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Solution

The third proportional to 2,116 and 4,556.75 is: 9,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 4,556.75 = 4,556.75 : x
  2. Step 2: Convert to fraction form
    2,116/4,556.75 = 4,556.75/x
  3. Step 3: Cross multiply
    2,116x = 4,556.75 × 4,556.75
  4. Step 4: Simplify right side
    2,116x = 20,763,970.56
  5. Step 5: Solve for x
    x = 20,763,970.56/2,116
  6. Step 6: Final answer
    x = 9,812.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.