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Finding the Third Proportional to 10.14 and 23.31

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Solution

The third proportional to 10.14 and 23.31 is: 53.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 23.31 = 23.31 : x
  2. Step 2: Convert to fraction form
    10.14/23.31 = 23.31/x
  3. Step 3: Cross multiply
    10.14x = 23.31 × 23.31
  4. Step 4: Simplify right side
    10.14x = 543.53
  5. Step 5: Solve for x
    x = 543.53/10.14
  6. Step 6: Final answer
    x = 53.62

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.