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Finding the Third Proportional to 19,743 and 42,762

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Solution

The third proportional to 19,743 and 42,762 is: 92,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743 : 42,762 = 42,762 : x
  2. Step 2: Convert to fraction form
    19,743/42,762 = 42,762/x
  3. Step 3: Cross multiply
    19,743x = 42,762 × 42,762
  4. Step 4: Simplify right side
    19,743x = 1,828,588,644
  5. Step 5: Solve for x
    x = 1,828,588,644/19,743
  6. Step 6: Final answer
    x = 92,619.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.