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Finding the Third Proportional to 839.25 and 1,840.50

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Solution

The third proportional to 839.25 and 1,840.50 is: 4,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.25 : 1,840.50 = 1,840.50 : x
  2. Step 2: Convert to fraction form
    839.25/1,840.50 = 1,840.50/x
  3. Step 3: Cross multiply
    839.25x = 1,840.50 × 1,840.50
  4. Step 4: Simplify right side
    839.25x = 3,387,440.25
  5. Step 5: Solve for x
    x = 3,387,440.25/839.25
  6. Step 6: Final answer
    x = 4,036.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.