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Finding the Third Proportional to 4,965.75 and 5,807.25

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Solution

The third proportional to 4,965.75 and 5,807.25 is: 6,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.75 : 5,807.25 = 5,807.25 : x
  2. Step 2: Convert to fraction form
    4,965.75/5,807.25 = 5,807.25/x
  3. Step 3: Cross multiply
    4,965.75x = 5,807.25 × 5,807.25
  4. Step 4: Simplify right side
    4,965.75x = 33,724,152.56
  5. Step 5: Solve for x
    x = 33,724,152.56/4,965.75
  6. Step 6: Final answer
    x = 6,791.35

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.