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Finding the Third Proportional to 835.17 and 1,804.17

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Solution

The third proportional to 835.17 and 1,804.17 is: 3,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.17 : 1,804.17 = 1,804.17 : x
  2. Step 2: Convert to fraction form
    835.17/1,804.17 = 1,804.17/x
  3. Step 3: Cross multiply
    835.17x = 1,804.17 × 1,804.17
  4. Step 4: Simplify right side
    835.17x = 3,255,036.15
  5. Step 5: Solve for x
    x = 3,255,036.15/835.17
  6. Step 6: Final answer
    x = 3,897.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.