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Finding the Third Proportional to 35.60 and 54.34

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Solution

The third proportional to 35.60 and 54.34 is: 82.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.60 : 54.34 = 54.34 : x
  2. Step 2: Convert to fraction form
    35.60/54.34 = 54.34/x
  3. Step 3: Cross multiply
    35.60x = 54.34 × 54.34
  4. Step 4: Simplify right side
    35.60x = 2,953.14
  5. Step 5: Solve for x
    x = 2,953.14/35.60
  6. Step 6: Final answer
    x = 82.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.