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Finding the Third Proportional to 7,323.75 and 8,022.38

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Solution

The third proportional to 7,323.75 and 8,022.38 is: 8,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.75 : 8,022.38 = 8,022.38 : x
  2. Step 2: Convert to fraction form
    7,323.75/8,022.38 = 8,022.38/x
  3. Step 3: Cross multiply
    7,323.75x = 8,022.38 × 8,022.38
  4. Step 4: Simplify right side
    7,323.75x = 64,358,500.64
  5. Step 5: Solve for x
    x = 64,358,500.64/7,323.75
  6. Step 6: Final answer
    x = 8,787.64

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.