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Finding the Third Proportional to 1,450.50 and 3,131.91

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Solution

The third proportional to 1,450.50 and 3,131.91 is: 6,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.50 : 3,131.91 = 3,131.91 : x
  2. Step 2: Convert to fraction form
    1,450.50/3,131.91 = 3,131.91/x
  3. Step 3: Cross multiply
    1,450.50x = 3,131.91 × 3,131.91
  4. Step 4: Simplify right side
    1,450.50x = 9,808,836.76
  5. Step 5: Solve for x
    x = 9,808,836.76/1,450.50
  6. Step 6: Final answer
    x = 6,762.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.