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Finding the Third Proportional to 7,764 and 19,122

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Solution

The third proportional to 7,764 and 19,122 is: 47,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764 : 19,122 = 19,122 : x
  2. Step 2: Convert to fraction form
    7,764/19,122 = 19,122/x
  3. Step 3: Cross multiply
    7,764x = 19,122 × 19,122
  4. Step 4: Simplify right side
    7,764x = 365,650,884
  5. Step 5: Solve for x
    x = 365,650,884/7,764
  6. Step 6: Final answer
    x = 47,095.68

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.