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Finding the Third Proportional to 7,768 and 15,176

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Solution

The third proportional to 7,768 and 15,176 is: 29,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768 : 15,176 = 15,176 : x
  2. Step 2: Convert to fraction form
    7,768/15,176 = 15,176/x
  3. Step 3: Cross multiply
    7,768x = 15,176 × 15,176
  4. Step 4: Simplify right side
    7,768x = 230,310,976
  5. Step 5: Solve for x
    x = 230,310,976/7,768
  6. Step 6: Final answer
    x = 29,648.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.