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Finding the Third Proportional to 1,965.09 and 4,201.03

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Solution

The third proportional to 1,965.09 and 4,201.03 is: 8,981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.09 : 4,201.03 = 4,201.03 : x
  2. Step 2: Convert to fraction form
    1,965.09/4,201.03 = 4,201.03/x
  3. Step 3: Cross multiply
    1,965.09x = 4,201.03 × 4,201.03
  4. Step 4: Simplify right side
    1,965.09x = 17,648,663.56
  5. Step 5: Solve for x
    x = 17,648,663.56/1,965.09
  6. Step 6: Final answer
    x = 8,981.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.