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Finding the Third Proportional to 29.81 and 70.03

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Solution

The third proportional to 29.81 and 70.03 is: 164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.81 : 70.03 = 70.03 : x
  2. Step 2: Convert to fraction form
    29.81/70.03 = 70.03/x
  3. Step 3: Cross multiply
    29.81x = 70.03 × 70.03
  4. Step 4: Simplify right side
    29.81x = 4,904.38
  5. Step 5: Solve for x
    x = 4,904.38/29.81
  6. Step 6: Final answer
    x = 164.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.