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Finding the Third Proportional to 4,442.75 and 6,698.50

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Solution

The third proportional to 4,442.75 and 6,698.50 is: 10,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.75 : 6,698.50 = 6,698.50 : x
  2. Step 2: Convert to fraction form
    4,442.75/6,698.50 = 6,698.50/x
  3. Step 3: Cross multiply
    4,442.75x = 6,698.50 × 6,698.50
  4. Step 4: Simplify right side
    4,442.75x = 44,869,902.25
  5. Step 5: Solve for x
    x = 44,869,902.25/4,442.75
  6. Step 6: Final answer
    x = 10,099.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.