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Finding the Third Proportional to 47.99 and 101.36

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Solution

The third proportional to 47.99 and 101.36 is: 214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.99 : 101.36 = 101.36 : x
  2. Step 2: Convert to fraction form
    47.99/101.36 = 101.36/x
  3. Step 3: Cross multiply
    47.99x = 101.36 × 101.36
  4. Step 4: Simplify right side
    47.99x = 10,272.93
  5. Step 5: Solve for x
    x = 10,272.93/47.99
  6. Step 6: Final answer
    x = 214.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.