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Finding the Third Proportional to 5,915.11 and 12,004.03

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Solution

The third proportional to 5,915.11 and 12,004.03 is: 24,360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.11 : 12,004.03 = 12,004.03 : x
  2. Step 2: Convert to fraction form
    5,915.11/12,004.03 = 12,004.03/x
  3. Step 3: Cross multiply
    5,915.11x = 12,004.03 × 12,004.03
  4. Step 4: Simplify right side
    5,915.11x = 144,096,766.25
  5. Step 5: Solve for x
    x = 144,096,766.25/5,915.11
  6. Step 6: Final answer
    x = 24,360.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.