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Finding the Third Proportional to 4,063.75 and 6,376.44

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Solution

The third proportional to 4,063.75 and 6,376.44 is: 10,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063.75 : 6,376.44 = 6,376.44 : x
  2. Step 2: Convert to fraction form
    4,063.75/6,376.44 = 6,376.44/x
  3. Step 3: Cross multiply
    4,063.75x = 6,376.44 × 6,376.44
  4. Step 4: Simplify right side
    4,063.75x = 40,658,955.19
  5. Step 5: Solve for x
    x = 40,658,955.19/4,063.75
  6. Step 6: Final answer
    x = 10,005.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.