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Finding the Third Proportional to 2,411.50 and 3,225.75

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Solution

The third proportional to 2,411.50 and 3,225.75 is: 4,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.50 : 3,225.75 = 3,225.75 : x
  2. Step 2: Convert to fraction form
    2,411.50/3,225.75 = 3,225.75/x
  3. Step 3: Cross multiply
    2,411.50x = 3,225.75 × 3,225.75
  4. Step 4: Simplify right side
    2,411.50x = 10,405,463.06
  5. Step 5: Solve for x
    x = 10,405,463.06/2,411.50
  6. Step 6: Final answer
    x = 4,314.93

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.