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Finding the Third Proportional to 18,848 and 25,872

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Solution

The third proportional to 18,848 and 25,872 is: 35,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,848 : 25,872 = 25,872 : x
  2. Step 2: Convert to fraction form
    18,848/25,872 = 25,872/x
  3. Step 3: Cross multiply
    18,848x = 25,872 × 25,872
  4. Step 4: Simplify right side
    18,848x = 669,360,384
  5. Step 5: Solve for x
    x = 669,360,384/18,848
  6. Step 6: Final answer
    x = 35,513.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.