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Finding the Third Proportional to 1,663.03 and 3,918.38

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Solution

The third proportional to 1,663.03 and 3,918.38 is: 9,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.03 : 3,918.38 = 3,918.38 : x
  2. Step 2: Convert to fraction form
    1,663.03/3,918.38 = 3,918.38/x
  3. Step 3: Cross multiply
    1,663.03x = 3,918.38 × 3,918.38
  4. Step 4: Simplify right side
    1,663.03x = 15,353,662.64
  5. Step 5: Solve for x
    x = 15,353,662.64/1,663.03
  6. Step 6: Final answer
    x = 9,232.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.