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Finding the Third Proportional to 858.94 and 2,327.91

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Solution

The third proportional to 858.94 and 2,327.91 is: 6,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.94 : 2,327.91 = 2,327.91 : x
  2. Step 2: Convert to fraction form
    858.94/2,327.91 = 2,327.91/x
  3. Step 3: Cross multiply
    858.94x = 2,327.91 × 2,327.91
  4. Step 4: Simplify right side
    858.94x = 5,419,147.51
  5. Step 5: Solve for x
    x = 5,419,147.51/858.94
  6. Step 6: Final answer
    x = 6,309.13

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.