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Finding the Third Proportional to 894.09 and 1,381.64

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Solution

The third proportional to 894.09 and 1,381.64 is: 2,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.09 : 1,381.64 = 1,381.64 : x
  2. Step 2: Convert to fraction form
    894.09/1,381.64 = 1,381.64/x
  3. Step 3: Cross multiply
    894.09x = 1,381.64 × 1,381.64
  4. Step 4: Simplify right side
    894.09x = 1,908,930.82
  5. Step 5: Solve for x
    x = 1,908,930.82/894.09
  6. Step 6: Final answer
    x = 2,135.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.