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Finding the Third Proportional to 6,774.75 and 7,746.75

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Solution

The third proportional to 6,774.75 and 7,746.75 is: 8,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.75 : 7,746.75 = 7,746.75 : x
  2. Step 2: Convert to fraction form
    6,774.75/7,746.75 = 7,746.75/x
  3. Step 3: Cross multiply
    6,774.75x = 7,746.75 × 7,746.75
  4. Step 4: Simplify right side
    6,774.75x = 60,012,135.56
  5. Step 5: Solve for x
    x = 60,012,135.56/6,774.75
  6. Step 6: Final answer
    x = 8,858.21

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.