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Finding the Third Proportional to 13 and 23

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Solution

The third proportional to 13 and 23 is: 40.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 23 = 23 : x
  2. Step 2: Convert to fraction form
    13/23 = 23/x
  3. Step 3: Cross multiply
    13x = 23 × 23
  4. Step 4: Simplify right side
    13x = 529
  5. Step 5: Solve for x
    x = 529/13
  6. Step 6: Final answer
    x = 40.69

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.