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Finding the Third Proportional to 918.25 and 2,170.75

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Solution

The third proportional to 918.25 and 2,170.75 is: 5,131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.25 : 2,170.75 = 2,170.75 : x
  2. Step 2: Convert to fraction form
    918.25/2,170.75 = 2,170.75/x
  3. Step 3: Cross multiply
    918.25x = 2,170.75 × 2,170.75
  4. Step 4: Simplify right side
    918.25x = 4,712,155.56
  5. Step 5: Solve for x
    x = 4,712,155.56/918.25
  6. Step 6: Final answer
    x = 5,131.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.