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Finding the Third Proportional to 941.63 and 1,677.27

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Solution

The third proportional to 941.63 and 1,677.27 is: 2,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.63 : 1,677.27 = 1,677.27 : x
  2. Step 2: Convert to fraction form
    941.63/1,677.27 = 1,677.27/x
  3. Step 3: Cross multiply
    941.63x = 1,677.27 × 1,677.27
  4. Step 4: Simplify right side
    941.63x = 2,813,233.08
  5. Step 5: Solve for x
    x = 2,813,233.08/941.63
  6. Step 6: Final answer
    x = 2,987.64

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.