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Finding the Third Proportional to 23 and 31.50

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Solution

The third proportional to 23 and 31.50 is: 43.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 31.50 = 31.50 : x
  2. Step 2: Convert to fraction form
    23/31.50 = 31.50/x
  3. Step 3: Cross multiply
    23x = 31.50 × 31.50
  4. Step 4: Simplify right side
    23x = 992.25
  5. Step 5: Solve for x
    x = 992.25/23
  6. Step 6: Final answer
    x = 43.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.