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Finding the Third Proportional to 49.36 and 72.14

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Solution

The third proportional to 49.36 and 72.14 is: 105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.36 : 72.14 = 72.14 : x
  2. Step 2: Convert to fraction form
    49.36/72.14 = 72.14/x
  3. Step 3: Cross multiply
    49.36x = 72.14 × 72.14
  4. Step 4: Simplify right side
    49.36x = 5,204.27
  5. Step 5: Solve for x
    x = 5,204.27/49.36
  6. Step 6: Final answer
    x = 105.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.