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Finding the Third Proportional to 1,896 and 4,608

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Solution

The third proportional to 1,896 and 4,608 is: 11,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896 : 4,608 = 4,608 : x
  2. Step 2: Convert to fraction form
    1,896/4,608 = 4,608/x
  3. Step 3: Cross multiply
    1,896x = 4,608 × 4,608
  4. Step 4: Simplify right side
    1,896x = 21,233,664
  5. Step 5: Solve for x
    x = 21,233,664/1,896
  6. Step 6: Final answer
    x = 11,199.19

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.