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Finding the Third Proportional to 1,363.08 and 2,954.39

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Solution

The third proportional to 1,363.08 and 2,954.39 is: 6,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.08 : 2,954.39 = 2,954.39 : x
  2. Step 2: Convert to fraction form
    1,363.08/2,954.39 = 2,954.39/x
  3. Step 3: Cross multiply
    1,363.08x = 2,954.39 × 2,954.39
  4. Step 4: Simplify right side
    1,363.08x = 8,728,423.97
  5. Step 5: Solve for x
    x = 8,728,423.97/1,363.08
  6. Step 6: Final answer
    x = 6,403.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.