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Finding the Third Proportional to 15,180 and 19,848

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Solution

The third proportional to 15,180 and 19,848 is: 25,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,180 : 19,848 = 19,848 : x
  2. Step 2: Convert to fraction form
    15,180/19,848 = 19,848/x
  3. Step 3: Cross multiply
    15,180x = 19,848 × 19,848
  4. Step 4: Simplify right side
    15,180x = 393,943,104
  5. Step 5: Solve for x
    x = 393,943,104/15,180
  6. Step 6: Final answer
    x = 25,951.46

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.