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Finding the Third Proportional to 941.81 and 1,078.69

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Solution

The third proportional to 941.81 and 1,078.69 is: 1,235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.81 : 1,078.69 = 1,078.69 : x
  2. Step 2: Convert to fraction form
    941.81/1,078.69 = 1,078.69/x
  3. Step 3: Cross multiply
    941.81x = 1,078.69 × 1,078.69
  4. Step 4: Simplify right side
    941.81x = 1,163,566.72
  5. Step 5: Solve for x
    x = 1,163,566.72/941.81
  6. Step 6: Final answer
    x = 1,235.45

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.