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Finding the Third Proportional to 5,913 and 13,816.83

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Solution

The third proportional to 5,913 and 13,816.83 is: 32,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913 : 13,816.83 = 13,816.83 : x
  2. Step 2: Convert to fraction form
    5,913/13,816.83 = 13,816.83/x
  3. Step 3: Cross multiply
    5,913x = 13,816.83 × 13,816.83
  4. Step 4: Simplify right side
    5,913x = 190,904,739.44
  5. Step 5: Solve for x
    x = 190,904,739.44/5,913
  6. Step 6: Final answer
    x = 32,285.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.