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Finding the Third Proportional to 4.35 and 10.29

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Solution

The third proportional to 4.35 and 10.29 is: 24.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.35 : 10.29 = 10.29 : x
  2. Step 2: Convert to fraction form
    4.35/10.29 = 10.29/x
  3. Step 3: Cross multiply
    4.35x = 10.29 × 10.29
  4. Step 4: Simplify right side
    4.35x = 105.95
  5. Step 5: Solve for x
    x = 105.95/4.35
  6. Step 6: Final answer
    x = 24.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.