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Finding the Third Proportional to 946.97 and 1,079.86

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Solution

The third proportional to 946.97 and 1,079.86 is: 1,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.97 : 1,079.86 = 1,079.86 : x
  2. Step 2: Convert to fraction form
    946.97/1,079.86 = 1,079.86/x
  3. Step 3: Cross multiply
    946.97x = 1,079.86 × 1,079.86
  4. Step 4: Simplify right side
    946.97x = 1,166,096.27
  5. Step 5: Solve for x
    x = 1,166,096.27/946.97
  6. Step 6: Final answer
    x = 1,231.40

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.