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Finding the Third Proportional to 45.63 and 97.97

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Solution

The third proportional to 45.63 and 97.97 is: 210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.63 : 97.97 = 97.97 : x
  2. Step 2: Convert to fraction form
    45.63/97.97 = 97.97/x
  3. Step 3: Cross multiply
    45.63x = 97.97 × 97.97
  4. Step 4: Simplify right side
    45.63x = 9,597.88
  5. Step 5: Solve for x
    x = 9,597.88/45.63
  6. Step 6: Final answer
    x = 210.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.