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Finding the Third Proportional to 854.06 and 1,874.06

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Solution

The third proportional to 854.06 and 1,874.06 is: 4,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.06 : 1,874.06 = 1,874.06 : x
  2. Step 2: Convert to fraction form
    854.06/1,874.06 = 1,874.06/x
  3. Step 3: Cross multiply
    854.06x = 1,874.06 × 1,874.06
  4. Step 4: Simplify right side
    854.06x = 3,512,110.25
  5. Step 5: Solve for x
    x = 3,512,110.25/854.06
  6. Step 6: Final answer
    x = 4,112.24

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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.