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Finding the Third Proportional to 842.81 and 1,835.06

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Solution

The third proportional to 842.81 and 1,835.06 is: 3,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.81 : 1,835.06 = 1,835.06 : x
  2. Step 2: Convert to fraction form
    842.81/1,835.06 = 1,835.06/x
  3. Step 3: Cross multiply
    842.81x = 1,835.06 × 1,835.06
  4. Step 4: Simplify right side
    842.81x = 3,367,454.38
  5. Step 5: Solve for x
    x = 3,367,454.38/842.81
  6. Step 6: Final answer
    x = 3,995.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.