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Finding the Third Proportional to 5,860.48 and 13,825.69

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Solution

The third proportional to 5,860.48 and 13,825.69 is: 32,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.48 : 13,825.69 = 13,825.69 : x
  2. Step 2: Convert to fraction form
    5,860.48/13,825.69 = 13,825.69/x
  3. Step 3: Cross multiply
    5,860.48x = 13,825.69 × 13,825.69
  4. Step 4: Simplify right side
    5,860.48x = 191,149,634.85
  5. Step 5: Solve for x
    x = 191,149,634.85/5,860.48
  6. Step 6: Final answer
    x = 32,616.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.