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Finding the Third Proportional to 537.75 and 1,153.69

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Solution

The third proportional to 537.75 and 1,153.69 is: 2,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.75 : 1,153.69 = 1,153.69 : x
  2. Step 2: Convert to fraction form
    537.75/1,153.69 = 1,153.69/x
  3. Step 3: Cross multiply
    537.75x = 1,153.69 × 1,153.69
  4. Step 4: Simplify right side
    537.75x = 1,330,994.85
  5. Step 5: Solve for x
    x = 1,330,994.85/537.75
  6. Step 6: Final answer
    x = 2,475.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.