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Finding the Third Proportional to 1,905.75 and 4,452.19

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Solution

The third proportional to 1,905.75 and 4,452.19 is: 10,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.75 : 4,452.19 = 4,452.19 : x
  2. Step 2: Convert to fraction form
    1,905.75/4,452.19 = 4,452.19/x
  3. Step 3: Cross multiply
    1,905.75x = 4,452.19 × 4,452.19
  4. Step 4: Simplify right side
    1,905.75x = 19,821,973.54
  5. Step 5: Solve for x
    x = 19,821,973.54/1,905.75
  6. Step 6: Final answer
    x = 10,401.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.