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Finding the Third Proportional to 2,563.50 and 6,049.50

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Solution

The third proportional to 2,563.50 and 6,049.50 is: 14,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.50 : 6,049.50 = 6,049.50 : x
  2. Step 2: Convert to fraction form
    2,563.50/6,049.50 = 6,049.50/x
  3. Step 3: Cross multiply
    2,563.50x = 6,049.50 × 6,049.50
  4. Step 4: Simplify right side
    2,563.50x = 36,596,450.25
  5. Step 5: Solve for x
    x = 36,596,450.25/2,563.50
  6. Step 6: Final answer
    x = 14,275.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.