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Finding the Third Proportional to 3,834 and 9,409

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Solution

The third proportional to 3,834 and 9,409 is: 23,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834 : 9,409 = 9,409 : x
  2. Step 2: Convert to fraction form
    3,834/9,409 = 9,409/x
  3. Step 3: Cross multiply
    3,834x = 9,409 × 9,409
  4. Step 4: Simplify right side
    3,834x = 88,529,281
  5. Step 5: Solve for x
    x = 88,529,281/3,834
  6. Step 6: Final answer
    x = 23,090.58

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.