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Finding the Third Proportional to 11,340 and 17,304.75

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Solution

The third proportional to 11,340 and 17,304.75 is: 26,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340 : 17,304.75 = 17,304.75 : x
  2. Step 2: Convert to fraction form
    11,340/17,304.75 = 17,304.75/x
  3. Step 3: Cross multiply
    11,340x = 17,304.75 × 17,304.75
  4. Step 4: Simplify right side
    11,340x = 299,454,372.56
  5. Step 5: Solve for x
    x = 299,454,372.56/11,340
  6. Step 6: Final answer
    x = 26,406.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.