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Finding the Third Proportional to 5,181.75 and 6,801.75

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Solution

The third proportional to 5,181.75 and 6,801.75 is: 8,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.75 : 6,801.75 = 6,801.75 : x
  2. Step 2: Convert to fraction form
    5,181.75/6,801.75 = 6,801.75/x
  3. Step 3: Cross multiply
    5,181.75x = 6,801.75 × 6,801.75
  4. Step 4: Simplify right side
    5,181.75x = 46,263,803.06
  5. Step 5: Solve for x
    x = 46,263,803.06/5,181.75
  6. Step 6: Final answer
    x = 8,928.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.