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Finding the Third Proportional to 19,062 and 25,452

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Solution

The third proportional to 19,062 and 25,452 is: 33,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,062 : 25,452 = 25,452 : x
  2. Step 2: Convert to fraction form
    19,062/25,452 = 25,452/x
  3. Step 3: Cross multiply
    19,062x = 25,452 × 25,452
  4. Step 4: Simplify right side
    19,062x = 647,804,304
  5. Step 5: Solve for x
    x = 647,804,304/19,062
  6. Step 6: Final answer
    x = 33,984.07

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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.