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Finding the Third Proportional to 667.13 and 938.06

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Solution

The third proportional to 667.13 and 938.06 is: 1,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.13 : 938.06 = 938.06 : x
  2. Step 2: Convert to fraction form
    667.13/938.06 = 938.06/x
  3. Step 3: Cross multiply
    667.13x = 938.06 × 938.06
  4. Step 4: Simplify right side
    667.13x = 879,961.25
  5. Step 5: Solve for x
    x = 879,961.25/667.13
  6. Step 6: Final answer
    x = 1,319.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.