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Finding the Third Proportional to 4.35 and 6.29

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Solution

The third proportional to 4.35 and 6.29 is: 9.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.35 : 6.29 = 6.29 : x
  2. Step 2: Convert to fraction form
    4.35/6.29 = 6.29/x
  3. Step 3: Cross multiply
    4.35x = 6.29 × 6.29
  4. Step 4: Simplify right side
    4.35x = 39.60
  5. Step 5: Solve for x
    x = 39.60/4.35
  6. Step 6: Final answer
    x = 9.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.