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Finding the Third Proportional to 14.94 and 32.31

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Solution

The third proportional to 14.94 and 32.31 is: 69.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.94 : 32.31 = 32.31 : x
  2. Step 2: Convert to fraction form
    14.94/32.31 = 32.31/x
  3. Step 3: Cross multiply
    14.94x = 32.31 × 32.31
  4. Step 4: Simplify right side
    14.94x = 1,044.10
  5. Step 5: Solve for x
    x = 1,044.10/14.94
  6. Step 6: Final answer
    x = 69.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.