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Finding the Third Proportional to 19,424 and 28,372

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Solution

The third proportional to 19,424 and 28,372 is: 41,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,424 : 28,372 = 28,372 : x
  2. Step 2: Convert to fraction form
    19,424/28,372 = 28,372/x
  3. Step 3: Cross multiply
    19,424x = 28,372 × 28,372
  4. Step 4: Simplify right side
    19,424x = 804,970,384
  5. Step 5: Solve for x
    x = 804,970,384/19,424
  6. Step 6: Final answer
    x = 41,442.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.