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Finding the Third Proportional to 1,912.36 and 4,537.90

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Solution

The third proportional to 1,912.36 and 4,537.90 is: 10,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.36 : 4,537.90 = 4,537.90 : x
  2. Step 2: Convert to fraction form
    1,912.36/4,537.90 = 4,537.90/x
  3. Step 3: Cross multiply
    1,912.36x = 4,537.90 × 4,537.90
  4. Step 4: Simplify right side
    1,912.36x = 20,592,522.23
  5. Step 5: Solve for x
    x = 20,592,522.23/1,912.36
  6. Step 6: Final answer
    x = 10,768.12

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.