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Finding the Third Proportional to 51.93 and 81.47

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Solution

The third proportional to 51.93 and 81.47 is: 127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.93 : 81.47 = 81.47 : x
  2. Step 2: Convert to fraction form
    51.93/81.47 = 81.47/x
  3. Step 3: Cross multiply
    51.93x = 81.47 × 81.47
  4. Step 4: Simplify right side
    51.93x = 6,638.11
  5. Step 5: Solve for x
    x = 6,638.11/51.93
  6. Step 6: Final answer
    x = 127.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.