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Finding the Third Proportional to 854.93 and 1,872.18

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Solution

The third proportional to 854.93 and 1,872.18 is: 4,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.93 : 1,872.18 = 1,872.18 : x
  2. Step 2: Convert to fraction form
    854.93/1,872.18 = 1,872.18/x
  3. Step 3: Cross multiply
    854.93x = 1,872.18 × 1,872.18
  4. Step 4: Simplify right side
    854.93x = 3,505,042.16
  5. Step 5: Solve for x
    x = 3,505,042.16/854.93
  6. Step 6: Final answer
    x = 4,099.80

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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.