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Finding the Third Proportional to 18,528.75 and 27,838.69

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Solution

The third proportional to 18,528.75 and 27,838.69 is: 41,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,528.75 : 27,838.69 = 27,838.69 : x
  2. Step 2: Convert to fraction form
    18,528.75/27,838.69 = 27,838.69/x
  3. Step 3: Cross multiply
    18,528.75x = 27,838.69 × 27,838.69
  4. Step 4: Simplify right side
    18,528.75x = 774,992,521.72
  5. Step 5: Solve for x
    x = 774,992,521.72/18,528.75
  6. Step 6: Final answer
    x = 41,826.49

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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.