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Finding the Third Proportional to 47.34 and 98.36

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Solution

The third proportional to 47.34 and 98.36 is: 204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 98.36 = 98.36 : x
  2. Step 2: Convert to fraction form
    47.34/98.36 = 98.36/x
  3. Step 3: Cross multiply
    47.34x = 98.36 × 98.36
  4. Step 4: Simplify right side
    47.34x = 9,675.24
  5. Step 5: Solve for x
    x = 9,675.24/47.34
  6. Step 6: Final answer
    x = 204.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.