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Finding the Third Proportional to 5,396 and 11,434

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Solution

The third proportional to 5,396 and 11,434 is: 24,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396 : 11,434 = 11,434 : x
  2. Step 2: Convert to fraction form
    5,396/11,434 = 11,434/x
  3. Step 3: Cross multiply
    5,396x = 11,434 × 11,434
  4. Step 4: Simplify right side
    5,396x = 130,736,356
  5. Step 5: Solve for x
    x = 130,736,356/5,396
  6. Step 6: Final answer
    x = 24,228.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.