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Finding the Third Proportional to 1,649 and 4,450.50

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Solution

The third proportional to 1,649 and 4,450.50 is: 12,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649 : 4,450.50 = 4,450.50 : x
  2. Step 2: Convert to fraction form
    1,649/4,450.50 = 4,450.50/x
  3. Step 3: Cross multiply
    1,649x = 4,450.50 × 4,450.50
  4. Step 4: Simplify right side
    1,649x = 19,806,950.25
  5. Step 5: Solve for x
    x = 19,806,950.25/1,649
  6. Step 6: Final answer
    x = 12,011.49

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.