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Finding the Third Proportional to 29.73 and 70.06

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Solution

The third proportional to 29.73 and 70.06 is: 165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.73 : 70.06 = 70.06 : x
  2. Step 2: Convert to fraction form
    29.73/70.06 = 70.06/x
  3. Step 3: Cross multiply
    29.73x = 70.06 × 70.06
  4. Step 4: Simplify right side
    29.73x = 4,908.75
  5. Step 5: Solve for x
    x = 4,908.75/29.73
  6. Step 6: Final answer
    x = 165.09

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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.