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Finding the Third Proportional to 25 and 65

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Solution

The third proportional to 25 and 65 is: 169

Step by Step Solution

  1. Step 1: Write the proportion equation
    25 : 65 = 65 : x
  2. Step 2: Convert to fraction form
    25/65 = 65/x
  3. Step 3: Cross multiply
    25x = 65 × 65
  4. Step 4: Simplify right side
    25x = 4,225
  5. Step 5: Solve for x
    x = 4,225/25
  6. Step 6: Final answer
    x = 169

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.