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Finding the Third Proportional to 7,708 and 16,663

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Solution

The third proportional to 7,708 and 16,663 is: 36,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708 : 16,663 = 16,663 : x
  2. Step 2: Convert to fraction form
    7,708/16,663 = 16,663/x
  3. Step 3: Cross multiply
    7,708x = 16,663 × 16,663
  4. Step 4: Simplify right side
    7,708x = 277,655,569
  5. Step 5: Solve for x
    x = 277,655,569/7,708
  6. Step 6: Final answer
    x = 36,021.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.