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Finding the Third Proportional to 6,838.75 and 10,880.75

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Solution

The third proportional to 6,838.75 and 10,880.75 is: 17,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.75 : 10,880.75 = 10,880.75 : x
  2. Step 2: Convert to fraction form
    6,838.75/10,880.75 = 10,880.75/x
  3. Step 3: Cross multiply
    6,838.75x = 10,880.75 × 10,880.75
  4. Step 4: Simplify right side
    6,838.75x = 118,390,720.56
  5. Step 5: Solve for x
    x = 118,390,720.56/6,838.75
  6. Step 6: Final answer
    x = 17,311.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.