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Finding the Third Proportional to 3,643 and 4,039

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Solution

The third proportional to 3,643 and 4,039 is: 4,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643 : 4,039 = 4,039 : x
  2. Step 2: Convert to fraction form
    3,643/4,039 = 4,039/x
  3. Step 3: Cross multiply
    3,643x = 4,039 × 4,039
  4. Step 4: Simplify right side
    3,643x = 16,313,521
  5. Step 5: Solve for x
    x = 16,313,521/3,643
  6. Step 6: Final answer
    x = 4,478.05

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.