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Finding the Third Proportional to 3,784 and 9,190

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Solution

The third proportional to 3,784 and 9,190 is: 22,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784 : 9,190 = 9,190 : x
  2. Step 2: Convert to fraction form
    3,784/9,190 = 9,190/x
  3. Step 3: Cross multiply
    3,784x = 9,190 × 9,190
  4. Step 4: Simplify right side
    3,784x = 84,456,100
  5. Step 5: Solve for x
    x = 84,456,100/3,784
  6. Step 6: Final answer
    x = 22,319.27

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.