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Finding the Third Proportional to 2,923.50 and 6,333

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Solution

The third proportional to 2,923.50 and 6,333 is: 13,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.50 : 6,333 = 6,333 : x
  2. Step 2: Convert to fraction form
    2,923.50/6,333 = 6,333/x
  3. Step 3: Cross multiply
    2,923.50x = 6,333 × 6,333
  4. Step 4: Simplify right side
    2,923.50x = 40,106,889
  5. Step 5: Solve for x
    x = 40,106,889/2,923.50
  6. Step 6: Final answer
    x = 13,718.79

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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.