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Finding the Third Proportional to 6,374.75 and 9,181.25

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Solution

The third proportional to 6,374.75 and 9,181.25 is: 13,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.75 : 9,181.25 = 9,181.25 : x
  2. Step 2: Convert to fraction form
    6,374.75/9,181.25 = 9,181.25/x
  3. Step 3: Cross multiply
    6,374.75x = 9,181.25 × 9,181.25
  4. Step 4: Simplify right side
    6,374.75x = 84,295,351.56
  5. Step 5: Solve for x
    x = 84,295,351.56/6,374.75
  6. Step 6: Final answer
    x = 13,223.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.