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Finding the Third Proportional to 19,848 and 42,738

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Solution

The third proportional to 19,848 and 42,738 is: 92,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,848 : 42,738 = 42,738 : x
  2. Step 2: Convert to fraction form
    19,848/42,738 = 42,738/x
  3. Step 3: Cross multiply
    19,848x = 42,738 × 42,738
  4. Step 4: Simplify right side
    19,848x = 1,826,536,644
  5. Step 5: Solve for x
    x = 1,826,536,644/19,848
  6. Step 6: Final answer
    x = 92,026.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.