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Finding the Third Proportional to 959.66 and 2,021.84

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Solution

The third proportional to 959.66 and 2,021.84 is: 4,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.66 : 2,021.84 = 2,021.84 : x
  2. Step 2: Convert to fraction form
    959.66/2,021.84 = 2,021.84/x
  3. Step 3: Cross multiply
    959.66x = 2,021.84 × 2,021.84
  4. Step 4: Simplify right side
    959.66x = 4,087,820.56
  5. Step 5: Solve for x
    x = 4,087,820.56/959.66
  6. Step 6: Final answer
    x = 4,259.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.