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Finding the Third Proportional to 858.94 and 1,853.72

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Solution

The third proportional to 858.94 and 1,853.72 is: 4,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.94 : 1,853.72 = 1,853.72 : x
  2. Step 2: Convert to fraction form
    858.94/1,853.72 = 1,853.72/x
  3. Step 3: Cross multiply
    858.94x = 1,853.72 × 1,853.72
  4. Step 4: Simplify right side
    858.94x = 3,436,273.20
  5. Step 5: Solve for x
    x = 3,436,273.20/858.94
  6. Step 6: Final answer
    x = 4,000.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.