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Finding the Third Proportional to 1,844.02 and 3,995.58

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Solution

The third proportional to 1,844.02 and 3,995.58 is: 8,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.02 : 3,995.58 = 3,995.58 : x
  2. Step 2: Convert to fraction form
    1,844.02/3,995.58 = 3,995.58/x
  3. Step 3: Cross multiply
    1,844.02x = 3,995.58 × 3,995.58
  4. Step 4: Simplify right side
    1,844.02x = 15,964,644.55
  5. Step 5: Solve for x
    x = 15,964,644.55/1,844.02
  6. Step 6: Final answer
    x = 8,657.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.