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Finding the Third Proportional to 19 and 34.25

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Solution

The third proportional to 19 and 34.25 is: 61.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19 : 34.25 = 34.25 : x
  2. Step 2: Convert to fraction form
    19/34.25 = 34.25/x
  3. Step 3: Cross multiply
    19x = 34.25 × 34.25
  4. Step 4: Simplify right side
    19x = 1,173.06
  5. Step 5: Solve for x
    x = 1,173.06/19
  6. Step 6: Final answer
    x = 61.74

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.