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Finding the Third Proportional to 5,442 and 11,357

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Solution

The third proportional to 5,442 and 11,357 is: 23,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442 : 11,357 = 11,357 : x
  2. Step 2: Convert to fraction form
    5,442/11,357 = 11,357/x
  3. Step 3: Cross multiply
    5,442x = 11,357 × 11,357
  4. Step 4: Simplify right side
    5,442x = 128,981,449
  5. Step 5: Solve for x
    x = 128,981,449/5,442
  6. Step 6: Final answer
    x = 23,701.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.