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Finding the Third Proportional to 7,788 and 11,625

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Solution

The third proportional to 7,788 and 11,625 is: 17,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788 : 11,625 = 11,625 : x
  2. Step 2: Convert to fraction form
    7,788/11,625 = 11,625/x
  3. Step 3: Cross multiply
    7,788x = 11,625 × 11,625
  4. Step 4: Simplify right side
    7,788x = 135,140,625
  5. Step 5: Solve for x
    x = 135,140,625/7,788
  6. Step 6: Final answer
    x = 17,352.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.