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Finding the Third Proportional to 1,094.03 and 2,232.92

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Solution

The third proportional to 1,094.03 and 2,232.92 is: 4,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.03 : 2,232.92 = 2,232.92 : x
  2. Step 2: Convert to fraction form
    1,094.03/2,232.92 = 2,232.92/x
  3. Step 3: Cross multiply
    1,094.03x = 2,232.92 × 2,232.92
  4. Step 4: Simplify right side
    1,094.03x = 4,985,924.84
  5. Step 5: Solve for x
    x = 4,985,924.84/1,094.03
  6. Step 6: Final answer
    x = 4,557.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.