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Finding the Third Proportional to 917.75 and 2,131.25

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Solution

The third proportional to 917.75 and 2,131.25 is: 4,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.75 : 2,131.25 = 2,131.25 : x
  2. Step 2: Convert to fraction form
    917.75/2,131.25 = 2,131.25/x
  3. Step 3: Cross multiply
    917.75x = 2,131.25 × 2,131.25
  4. Step 4: Simplify right side
    917.75x = 4,542,226.56
  5. Step 5: Solve for x
    x = 4,542,226.56/917.75
  6. Step 6: Final answer
    x = 4,949.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.