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Finding the Third Proportional to 6,741.75 and 7,774.50

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Solution

The third proportional to 6,741.75 and 7,774.50 is: 8,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.75 : 7,774.50 = 7,774.50 : x
  2. Step 2: Convert to fraction form
    6,741.75/7,774.50 = 7,774.50/x
  3. Step 3: Cross multiply
    6,741.75x = 7,774.50 × 7,774.50
  4. Step 4: Simplify right side
    6,741.75x = 60,442,850.25
  5. Step 5: Solve for x
    x = 60,442,850.25/6,741.75
  6. Step 6: Final answer
    x = 8,965.45

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.