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Finding the Third Proportional to 18,122.48 and 27,166.64

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Solution

The third proportional to 18,122.48 and 27,166.64 is: 40,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,122.48 : 27,166.64 = 27,166.64 : x
  2. Step 2: Convert to fraction form
    18,122.48/27,166.64 = 27,166.64/x
  3. Step 3: Cross multiply
    18,122.48x = 27,166.64 × 27,166.64
  4. Step 4: Simplify right side
    18,122.48x = 738,026,362.85
  5. Step 5: Solve for x
    x = 738,026,362.85/18,122.48
  6. Step 6: Final answer
    x = 40,724.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.