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Finding the Third Proportional to 3,006 and 4,303

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Solution

The third proportional to 3,006 and 4,303 is: 6,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006 : 4,303 = 4,303 : x
  2. Step 2: Convert to fraction form
    3,006/4,303 = 4,303/x
  3. Step 3: Cross multiply
    3,006x = 4,303 × 4,303
  4. Step 4: Simplify right side
    3,006x = 18,515,809
  5. Step 5: Solve for x
    x = 18,515,809/3,006
  6. Step 6: Final answer
    x = 6,159.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.