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Finding the Third Proportional to 836.06 and 1,834.13

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Solution

The third proportional to 836.06 and 1,834.13 is: 4,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.06 : 1,834.13 = 1,834.13 : x
  2. Step 2: Convert to fraction form
    836.06/1,834.13 = 1,834.13/x
  3. Step 3: Cross multiply
    836.06x = 1,834.13 × 1,834.13
  4. Step 4: Simplify right side
    836.06x = 3,364,014.52
  5. Step 5: Solve for x
    x = 3,364,014.52/836.06
  6. Step 6: Final answer
    x = 4,023.64

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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.