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Finding the Third Proportional to 1,161.84 and 3,021.05

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Solution

The third proportional to 1,161.84 and 3,021.05 is: 7,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.84 : 3,021.05 = 3,021.05 : x
  2. Step 2: Convert to fraction form
    1,161.84/3,021.05 = 3,021.05/x
  3. Step 3: Cross multiply
    1,161.84x = 3,021.05 × 3,021.05
  4. Step 4: Simplify right side
    1,161.84x = 9,126,724.22
  5. Step 5: Solve for x
    x = 9,126,724.22/1,161.84
  6. Step 6: Final answer
    x = 7,855.38

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.