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Finding the Third Proportional to 18,042.75 and 27,098.30

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Solution

The third proportional to 18,042.75 and 27,098.30 is: 40,698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.75 : 27,098.30 = 27,098.30 : x
  2. Step 2: Convert to fraction form
    18,042.75/27,098.30 = 27,098.30/x
  3. Step 3: Cross multiply
    18,042.75x = 27,098.30 × 27,098.30
  4. Step 4: Simplify right side
    18,042.75x = 734,317,693.53
  5. Step 5: Solve for x
    x = 734,317,693.53/18,042.75
  6. Step 6: Final answer
    x = 40,698.77

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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.