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Finding the Third Proportional to 933.75 and 1,226.81

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Solution

The third proportional to 933.75 and 1,226.81 is: 1,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.75 : 1,226.81 = 1,226.81 : x
  2. Step 2: Convert to fraction form
    933.75/1,226.81 = 1,226.81/x
  3. Step 3: Cross multiply
    933.75x = 1,226.81 × 1,226.81
  4. Step 4: Simplify right side
    933.75x = 1,505,068.91
  5. Step 5: Solve for x
    x = 1,505,068.91/933.75
  6. Step 6: Final answer
    x = 1,611.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.