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Finding the Third Proportional to 4.29 and 8.43

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Solution

The third proportional to 4.29 and 8.43 is: 16.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.29 : 8.43 = 8.43 : x
  2. Step 2: Convert to fraction form
    4.29/8.43 = 8.43/x
  3. Step 3: Cross multiply
    4.29x = 8.43 × 8.43
  4. Step 4: Simplify right side
    4.29x = 71.03
  5. Step 5: Solve for x
    x = 71.03/4.29
  6. Step 6: Final answer
    x = 16.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.