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Finding the Third Proportional to 2,160.42 and 5,040.35

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Solution

The third proportional to 2,160.42 and 5,040.35 is: 11,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.42 : 5,040.35 = 5,040.35 : x
  2. Step 2: Convert to fraction form
    2,160.42/5,040.35 = 5,040.35/x
  3. Step 3: Cross multiply
    2,160.42x = 5,040.35 × 5,040.35
  4. Step 4: Simplify right side
    2,160.42x = 25,405,143.87
  5. Step 5: Solve for x
    x = 25,405,143.87/2,160.42
  6. Step 6: Final answer
    x = 11,759.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.