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Finding the Third Proportional to 18,975.38 and 27,734.06

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Solution

The third proportional to 18,975.38 and 27,734.06 is: 40,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,975.38 : 27,734.06 = 27,734.06 : x
  2. Step 2: Convert to fraction form
    18,975.38/27,734.06 = 27,734.06/x
  3. Step 3: Cross multiply
    18,975.38x = 27,734.06 × 27,734.06
  4. Step 4: Simplify right side
    18,975.38x = 769,178,222.75
  5. Step 5: Solve for x
    x = 769,178,222.75/18,975.38
  6. Step 6: Final answer
    x = 40,535.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.