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Finding the Third Proportional to 72.94 and 96.47

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Solution

The third proportional to 72.94 and 96.47 is: 127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.94 : 96.47 = 96.47 : x
  2. Step 2: Convert to fraction form
    72.94/96.47 = 96.47/x
  3. Step 3: Cross multiply
    72.94x = 96.47 × 96.47
  4. Step 4: Simplify right side
    72.94x = 9,306.22
  5. Step 5: Solve for x
    x = 9,306.22/72.94
  6. Step 6: Final answer
    x = 127.59

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.