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Finding the Third Proportional to 7,820 and 11,176

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Solution

The third proportional to 7,820 and 11,176 is: 15,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820 : 11,176 = 11,176 : x
  2. Step 2: Convert to fraction form
    7,820/11,176 = 11,176/x
  3. Step 3: Cross multiply
    7,820x = 11,176 × 11,176
  4. Step 4: Simplify right side
    7,820x = 124,902,976
  5. Step 5: Solve for x
    x = 124,902,976/7,820
  6. Step 6: Final answer
    x = 15,972.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.