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Finding the Third Proportional to 7,736 and 9,924

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Solution

The third proportional to 7,736 and 9,924 is: 12,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736 : 9,924 = 9,924 : x
  2. Step 2: Convert to fraction form
    7,736/9,924 = 9,924/x
  3. Step 3: Cross multiply
    7,736x = 9,924 × 9,924
  4. Step 4: Simplify right side
    7,736x = 98,485,776
  5. Step 5: Solve for x
    x = 98,485,776/7,736
  6. Step 6: Final answer
    x = 12,730.84

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.