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Finding the Third Proportional to 7,827 and 18,330

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Solution

The third proportional to 7,827 and 18,330 is: 42,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827 : 18,330 = 18,330 : x
  2. Step 2: Convert to fraction form
    7,827/18,330 = 18,330/x
  3. Step 3: Cross multiply
    7,827x = 18,330 × 18,330
  4. Step 4: Simplify right side
    7,827x = 335,988,900
  5. Step 5: Solve for x
    x = 335,988,900/7,827
  6. Step 6: Final answer
    x = 42,926.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.