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Finding the Third Proportional to 5,103 and 13,015.69

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Solution

The third proportional to 5,103 and 13,015.69 is: 33,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103 : 13,015.69 = 13,015.69 : x
  2. Step 2: Convert to fraction form
    5,103/13,015.69 = 13,015.69/x
  3. Step 3: Cross multiply
    5,103x = 13,015.69 × 13,015.69
  4. Step 4: Simplify right side
    5,103x = 169,408,121.10
  5. Step 5: Solve for x
    x = 169,408,121.10/5,103
  6. Step 6: Final answer
    x = 33,197.75

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Why These Related Problems?

These problems maintain the same ratio (2.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.