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Finding the Third Proportional to 35.25 and 75.84

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Solution

The third proportional to 35.25 and 75.84 is: 163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.25 : 75.84 = 75.84 : x
  2. Step 2: Convert to fraction form
    35.25/75.84 = 75.84/x
  3. Step 3: Cross multiply
    35.25x = 75.84 × 75.84
  4. Step 4: Simplify right side
    35.25x = 5,752.27
  5. Step 5: Solve for x
    x = 5,752.27/35.25
  6. Step 6: Final answer
    x = 163.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.