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Finding the Third Proportional to 70.25 and 76.50

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Solution

The third proportional to 70.25 and 76.50 is: 83.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.25 : 76.50 = 76.50 : x
  2. Step 2: Convert to fraction form
    70.25/76.50 = 76.50/x
  3. Step 3: Cross multiply
    70.25x = 76.50 × 76.50
  4. Step 4: Simplify right side
    70.25x = 5,852.25
  5. Step 5: Solve for x
    x = 5,852.25/70.25
  6. Step 6: Final answer
    x = 83.31

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.