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Finding the Third Proportional to 2,451 and 2,950.50

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Solution

The third proportional to 2,451 and 2,950.50 is: 3,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451 : 2,950.50 = 2,950.50 : x
  2. Step 2: Convert to fraction form
    2,451/2,950.50 = 2,950.50/x
  3. Step 3: Cross multiply
    2,451x = 2,950.50 × 2,950.50
  4. Step 4: Simplify right side
    2,451x = 8,705,450.25
  5. Step 5: Solve for x
    x = 8,705,450.25/2,451
  6. Step 6: Final answer
    x = 3,551.80

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.