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Finding the Third Proportional to 894.48 and 1,368.46

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Solution

The third proportional to 894.48 and 1,368.46 is: 2,093.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.48 : 1,368.46 = 1,368.46 : x
  2. Step 2: Convert to fraction form
    894.48/1,368.46 = 1,368.46/x
  3. Step 3: Cross multiply
    894.48x = 1,368.46 × 1,368.46
  4. Step 4: Simplify right side
    894.48x = 1,872,674.65
  5. Step 5: Solve for x
    x = 1,872,674.65/894.48
  6. Step 6: Final answer
    x = 2,093.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.