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Finding the Third Proportional to 7,859 and 16,265

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Solution

The third proportional to 7,859 and 16,265 is: 33,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859 : 16,265 = 16,265 : x
  2. Step 2: Convert to fraction form
    7,859/16,265 = 16,265/x
  3. Step 3: Cross multiply
    7,859x = 16,265 × 16,265
  4. Step 4: Simplify right side
    7,859x = 264,550,225
  5. Step 5: Solve for x
    x = 264,550,225/7,859
  6. Step 6: Final answer
    x = 33,662.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.