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Finding the Third Proportional to 7,414 and 11,341

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Solution

The third proportional to 7,414 and 11,341 is: 17,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414 : 11,341 = 11,341 : x
  2. Step 2: Convert to fraction form
    7,414/11,341 = 11,341/x
  3. Step 3: Cross multiply
    7,414x = 11,341 × 11,341
  4. Step 4: Simplify right side
    7,414x = 128,618,281
  5. Step 5: Solve for x
    x = 128,618,281/7,414
  6. Step 6: Final answer
    x = 17,348.03

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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.