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Finding the Third Proportional to 32.31 and 46.94

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Solution

The third proportional to 32.31 and 46.94 is: 68.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.31 : 46.94 = 46.94 : x
  2. Step 2: Convert to fraction form
    32.31/46.94 = 46.94/x
  3. Step 3: Cross multiply
    32.31x = 46.94 × 46.94
  4. Step 4: Simplify right side
    32.31x = 2,203.13
  5. Step 5: Solve for x
    x = 2,203.13/32.31
  6. Step 6: Final answer
    x = 68.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.