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Finding the Third Proportional to 6,274.75 and 8,365.25

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Solution

The third proportional to 6,274.75 and 8,365.25 is: 11,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.75 : 8,365.25 = 8,365.25 : x
  2. Step 2: Convert to fraction form
    6,274.75/8,365.25 = 8,365.25/x
  3. Step 3: Cross multiply
    6,274.75x = 8,365.25 × 8,365.25
  4. Step 4: Simplify right side
    6,274.75x = 69,977,407.56
  5. Step 5: Solve for x
    x = 69,977,407.56/6,274.75
  6. Step 6: Final answer
    x = 11,152.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.