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Finding the Third Proportional to 1.81 and 4.29

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Solution

The third proportional to 1.81 and 4.29 is: 10.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.81 : 4.29 = 4.29 : x
  2. Step 2: Convert to fraction form
    1.81/4.29 = 4.29/x
  3. Step 3: Cross multiply
    1.81x = 4.29 × 4.29
  4. Step 4: Simplify right side
    1.81x = 18.41
  5. Step 5: Solve for x
    x = 18.41/1.81
  6. Step 6: Final answer
    x = 10.18

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.