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Finding the Third Proportional to 934.17 and 1,379.67

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Solution

The third proportional to 934.17 and 1,379.67 is: 2,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.17 : 1,379.67 = 1,379.67 : x
  2. Step 2: Convert to fraction form
    934.17/1,379.67 = 1,379.67/x
  3. Step 3: Cross multiply
    934.17x = 1,379.67 × 1,379.67
  4. Step 4: Simplify right side
    934.17x = 1,903,494.48
  5. Step 5: Solve for x
    x = 1,903,494.48/934.17
  6. Step 6: Final answer
    x = 2,037.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.