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Finding the Third Proportional to 5,118.94 and 11,164.31

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Solution

The third proportional to 5,118.94 and 11,164.31 is: 24,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.94 : 11,164.31 = 11,164.31 : x
  2. Step 2: Convert to fraction form
    5,118.94/11,164.31 = 11,164.31/x
  3. Step 3: Cross multiply
    5,118.94x = 11,164.31 × 11,164.31
  4. Step 4: Simplify right side
    5,118.94x = 124,641,873.60
  5. Step 5: Solve for x
    x = 124,641,873.60/5,118.94
  6. Step 6: Final answer
    x = 24,349.17

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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.