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Finding the Third Proportional to 1,094.41 and 1,661.88

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Solution

The third proportional to 1,094.41 and 1,661.88 is: 2,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.41 : 1,661.88 = 1,661.88 : x
  2. Step 2: Convert to fraction form
    1,094.41/1,661.88 = 1,661.88/x
  3. Step 3: Cross multiply
    1,094.41x = 1,661.88 × 1,661.88
  4. Step 4: Simplify right side
    1,094.41x = 2,761,828.52
  5. Step 5: Solve for x
    x = 2,761,828.52/1,094.41
  6. Step 6: Final answer
    x = 2,523.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.