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Finding the Third Proportional to 35.82 and 53.65

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Solution

The third proportional to 35.82 and 53.65 is: 80.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.82 : 53.65 = 53.65 : x
  2. Step 2: Convert to fraction form
    35.82/53.65 = 53.65/x
  3. Step 3: Cross multiply
    35.82x = 53.65 × 53.65
  4. Step 4: Simplify right side
    35.82x = 2,878.15
  5. Step 5: Solve for x
    x = 2,878.15/35.82
  6. Step 6: Final answer
    x = 80.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.