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Finding the Third Proportional to 7,756 and 10,924

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Solution

The third proportional to 7,756 and 10,924 is: 15,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756 : 10,924 = 10,924 : x
  2. Step 2: Convert to fraction form
    7,756/10,924 = 10,924/x
  3. Step 3: Cross multiply
    7,756x = 10,924 × 10,924
  4. Step 4: Simplify right side
    7,756x = 119,333,776
  5. Step 5: Solve for x
    x = 119,333,776/7,756
  6. Step 6: Final answer
    x = 15,385.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.