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Finding the Third Proportional to 14,424 and 19,287

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Solution

The third proportional to 14,424 and 19,287 is: 25,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424 : 19,287 = 19,287 : x
  2. Step 2: Convert to fraction form
    14,424/19,287 = 19,287/x
  3. Step 3: Cross multiply
    14,424x = 19,287 × 19,287
  4. Step 4: Simplify right side
    14,424x = 371,988,369
  5. Step 5: Solve for x
    x = 371,988,369/14,424
  6. Step 6: Final answer
    x = 25,789.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.