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Finding the Third Proportional to 5,409 and 10,257.75

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Solution

The third proportional to 5,409 and 10,257.75 is: 19,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409 : 10,257.75 = 10,257.75 : x
  2. Step 2: Convert to fraction form
    5,409/10,257.75 = 10,257.75/x
  3. Step 3: Cross multiply
    5,409x = 10,257.75 × 10,257.75
  4. Step 4: Simplify right side
    5,409x = 105,221,435.06
  5. Step 5: Solve for x
    x = 105,221,435.06/5,409
  6. Step 6: Final answer
    x = 19,453.03

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.