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Finding the Third Proportional to 5,195 and 11,119.50

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Solution

The third proportional to 5,195 and 11,119.50 is: 23,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195 : 11,119.50 = 11,119.50 : x
  2. Step 2: Convert to fraction form
    5,195/11,119.50 = 11,119.50/x
  3. Step 3: Cross multiply
    5,195x = 11,119.50 × 11,119.50
  4. Step 4: Simplify right side
    5,195x = 123,643,280.25
  5. Step 5: Solve for x
    x = 123,643,280.25/5,195
  6. Step 6: Final answer
    x = 23,800.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.