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Finding the Third Proportional to 36.47 and 51

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Solution

The third proportional to 36.47 and 51 is: 71.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.47 : 51 = 51 : x
  2. Step 2: Convert to fraction form
    36.47/51 = 51/x
  3. Step 3: Cross multiply
    36.47x = 51 × 51
  4. Step 4: Simplify right side
    36.47x = 2,601
  5. Step 5: Solve for x
    x = 2,601/36.47
  6. Step 6: Final answer
    x = 71.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.