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Finding the Third Proportional to 35.06 and 53.31

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Solution

The third proportional to 35.06 and 53.31 is: 81.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.06 : 53.31 = 53.31 : x
  2. Step 2: Convert to fraction form
    35.06/53.31 = 53.31/x
  3. Step 3: Cross multiply
    35.06x = 53.31 × 53.31
  4. Step 4: Simplify right side
    35.06x = 2,842.22
  5. Step 5: Solve for x
    x = 2,842.22/35.06
  6. Step 6: Final answer
    x = 81.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.