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Finding the Third Proportional to 1,161.21 and 1,595.64

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Solution

The third proportional to 1,161.21 and 1,595.64 is: 2,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.21 : 1,595.64 = 1,595.64 : x
  2. Step 2: Convert to fraction form
    1,161.21/1,595.64 = 1,595.64/x
  3. Step 3: Cross multiply
    1,161.21x = 1,595.64 × 1,595.64
  4. Step 4: Simplify right side
    1,161.21x = 2,546,056.54
  5. Step 5: Solve for x
    x = 2,546,056.54/1,161.21
  6. Step 6: Final answer
    x = 2,192.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.