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Finding the Third Proportional to 10 and 13

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Solution

The third proportional to 10 and 13 is: 16.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10 : 13 = 13 : x
  2. Step 2: Convert to fraction form
    10/13 = 13/x
  3. Step 3: Cross multiply
    10x = 13 × 13
  4. Step 4: Simplify right side
    10x = 169
  5. Step 5: Solve for x
    x = 169/10
  6. Step 6: Final answer
    x = 16.90

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.