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Finding the Third Proportional to 825 and 919.50

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Solution

The third proportional to 825 and 919.50 is: 1,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    825 : 919.50 = 919.50 : x
  2. Step 2: Convert to fraction form
    825/919.50 = 919.50/x
  3. Step 3: Cross multiply
    825x = 919.50 × 919.50
  4. Step 4: Simplify right side
    825x = 845,480.25
  5. Step 5: Solve for x
    x = 845,480.25/825
  6. Step 6: Final answer
    x = 1,024.82

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.