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Finding the Third Proportional to 35.44 and 77.06

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Solution

The third proportional to 35.44 and 77.06 is: 167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.44 : 77.06 = 77.06 : x
  2. Step 2: Convert to fraction form
    35.44/77.06 = 77.06/x
  3. Step 3: Cross multiply
    35.44x = 77.06 × 77.06
  4. Step 4: Simplify right side
    35.44x = 5,938.63
  5. Step 5: Solve for x
    x = 5,938.63/35.44
  6. Step 6: Final answer
    x = 167.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.