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Finding the Third Proportional to 45.31 and 69.31

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Solution

The third proportional to 45.31 and 69.31 is: 106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.31 : 69.31 = 69.31 : x
  2. Step 2: Convert to fraction form
    45.31/69.31 = 69.31/x
  3. Step 3: Cross multiply
    45.31x = 69.31 × 69.31
  4. Step 4: Simplify right side
    45.31x = 4,804.22
  5. Step 5: Solve for x
    x = 4,804.22/45.31
  6. Step 6: Final answer
    x = 106.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.