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Finding the Third Proportional to 912.52 and 1,364.34

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Solution

The third proportional to 912.52 and 1,364.34 is: 2,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.52 : 1,364.34 = 1,364.34 : x
  2. Step 2: Convert to fraction form
    912.52/1,364.34 = 1,364.34/x
  3. Step 3: Cross multiply
    912.52x = 1,364.34 × 1,364.34
  4. Step 4: Simplify right side
    912.52x = 1,861,433.87
  5. Step 5: Solve for x
    x = 1,861,433.87/912.52
  6. Step 6: Final answer
    x = 2,039.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.