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Finding the Third Proportional to 19,408 and 27,323

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Solution

The third proportional to 19,408 and 27,323 is: 38,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408 : 27,323 = 27,323 : x
  2. Step 2: Convert to fraction form
    19,408/27,323 = 27,323/x
  3. Step 3: Cross multiply
    19,408x = 27,323 × 27,323
  4. Step 4: Simplify right side
    19,408x = 746,546,329
  5. Step 5: Solve for x
    x = 746,546,329/19,408
  6. Step 6: Final answer
    x = 38,465.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.