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Finding the Third Proportional to 7,786 and 16,124

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Solution

The third proportional to 7,786 and 16,124 is: 33,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786 : 16,124 = 16,124 : x
  2. Step 2: Convert to fraction form
    7,786/16,124 = 16,124/x
  3. Step 3: Cross multiply
    7,786x = 16,124 × 16,124
  4. Step 4: Simplify right side
    7,786x = 259,983,376
  5. Step 5: Solve for x
    x = 259,983,376/7,786
  6. Step 6: Final answer
    x = 33,391.13

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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.