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Finding the Third Proportional to 30.84 and 71.48

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Solution

The third proportional to 30.84 and 71.48 is: 165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.84 : 71.48 = 71.48 : x
  2. Step 2: Convert to fraction form
    30.84/71.48 = 71.48/x
  3. Step 3: Cross multiply
    30.84x = 71.48 × 71.48
  4. Step 4: Simplify right side
    30.84x = 5,110.02
  5. Step 5: Solve for x
    x = 5,110.02/30.84
  6. Step 6: Final answer
    x = 165.67

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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.