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Finding the Third Proportional to 2,148.82 and 4,556.34

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Solution

The third proportional to 2,148.82 and 4,556.34 is: 9,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.82 : 4,556.34 = 4,556.34 : x
  2. Step 2: Convert to fraction form
    2,148.82/4,556.34 = 4,556.34/x
  3. Step 3: Cross multiply
    2,148.82x = 4,556.34 × 4,556.34
  4. Step 4: Simplify right side
    2,148.82x = 20,760,224.99
  5. Step 5: Solve for x
    x = 20,760,224.99/2,148.82
  6. Step 6: Final answer
    x = 9,661.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.