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Finding the Third Proportional to 533.94 and 1,157.57

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Solution

The third proportional to 533.94 and 1,157.57 is: 2,509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.94 : 1,157.57 = 1,157.57 : x
  2. Step 2: Convert to fraction form
    533.94/1,157.57 = 1,157.57/x
  3. Step 3: Cross multiply
    533.94x = 1,157.57 × 1,157.57
  4. Step 4: Simplify right side
    533.94x = 1,339,973.55
  5. Step 5: Solve for x
    x = 1,339,973.55/533.94
  6. Step 6: Final answer
    x = 2,509.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.