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Finding the Third Proportional to 7,414 and 11,353

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Solution

The third proportional to 7,414 and 11,353 is: 17,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414 : 11,353 = 11,353 : x
  2. Step 2: Convert to fraction form
    7,414/11,353 = 11,353/x
  3. Step 3: Cross multiply
    7,414x = 11,353 × 11,353
  4. Step 4: Simplify right side
    7,414x = 128,890,609
  5. Step 5: Solve for x
    x = 128,890,609/7,414
  6. Step 6: Final answer
    x = 17,384.76

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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.