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Finding the Third Proportional to 5,077.69 and 12,232.69

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Solution

The third proportional to 5,077.69 and 12,232.69 is: 29,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.69 : 12,232.69 = 12,232.69 : x
  2. Step 2: Convert to fraction form
    5,077.69/12,232.69 = 12,232.69/x
  3. Step 3: Cross multiply
    5,077.69x = 12,232.69 × 12,232.69
  4. Step 4: Simplify right side
    5,077.69x = 149,638,643.47
  5. Step 5: Solve for x
    x = 149,638,643.47/5,077.69
  6. Step 6: Final answer
    x = 29,469.84

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.