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Finding the Third Proportional to 19,042 and 25,272

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Solution

The third proportional to 19,042 and 25,272 is: 33,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,042 : 25,272 = 25,272 : x
  2. Step 2: Convert to fraction form
    19,042/25,272 = 25,272/x
  3. Step 3: Cross multiply
    19,042x = 25,272 × 25,272
  4. Step 4: Simplify right side
    19,042x = 638,673,984
  5. Step 5: Solve for x
    x = 638,673,984/19,042
  6. Step 6: Final answer
    x = 33,540.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.