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Finding the Third Proportional to 7,892.50 and 18,273

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Solution

The third proportional to 7,892.50 and 18,273 is: 42,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.50 : 18,273 = 18,273 : x
  2. Step 2: Convert to fraction form
    7,892.50/18,273 = 18,273/x
  3. Step 3: Cross multiply
    7,892.50x = 18,273 × 18,273
  4. Step 4: Simplify right side
    7,892.50x = 333,902,529
  5. Step 5: Solve for x
    x = 333,902,529/7,892.50
  6. Step 6: Final answer
    x = 42,306.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.