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Finding the Third Proportional to 829.93 and 1,844.17

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Solution

The third proportional to 829.93 and 1,844.17 is: 4,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.93 : 1,844.17 = 1,844.17 : x
  2. Step 2: Convert to fraction form
    829.93/1,844.17 = 1,844.17/x
  3. Step 3: Cross multiply
    829.93x = 1,844.17 × 1,844.17
  4. Step 4: Simplify right side
    829.93x = 3,400,977.11
  5. Step 5: Solve for x
    x = 3,400,977.11/829.93
  6. Step 6: Final answer
    x = 4,097.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.