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Finding the Third Proportional to 29.63 and 68.81

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Solution

The third proportional to 29.63 and 68.81 is: 159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.63 : 68.81 = 68.81 : x
  2. Step 2: Convert to fraction form
    29.63/68.81 = 68.81/x
  3. Step 3: Cross multiply
    29.63x = 68.81 × 68.81
  4. Step 4: Simplify right side
    29.63x = 4,735.16
  5. Step 5: Solve for x
    x = 4,735.16/29.63
  6. Step 6: Final answer
    x = 159.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.