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Finding the Third Proportional to 26.50 and 64.25

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Solution

The third proportional to 26.50 and 64.25 is: 155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.50 : 64.25 = 64.25 : x
  2. Step 2: Convert to fraction form
    26.50/64.25 = 64.25/x
  3. Step 3: Cross multiply
    26.50x = 64.25 × 64.25
  4. Step 4: Simplify right side
    26.50x = 4,128.06
  5. Step 5: Solve for x
    x = 4,128.06/26.50
  6. Step 6: Final answer
    x = 155.78

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.