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Finding the Third Proportional to 5,420.72 and 11,833.69

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Solution

The third proportional to 5,420.72 and 11,833.69 is: 25,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.72 : 11,833.69 = 11,833.69 : x
  2. Step 2: Convert to fraction form
    5,420.72/11,833.69 = 11,833.69/x
  3. Step 3: Cross multiply
    5,420.72x = 11,833.69 × 11,833.69
  4. Step 4: Simplify right side
    5,420.72x = 140,036,159.85
  5. Step 5: Solve for x
    x = 140,036,159.85/5,420.72
  6. Step 6: Final answer
    x = 25,833.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.