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Finding the Third Proportional to 38,742 and 59,796

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Solution

The third proportional to 38,742 and 59,796 is: 92,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742 : 59,796 = 59,796 : x
  2. Step 2: Convert to fraction form
    38,742/59,796 = 59,796/x
  3. Step 3: Cross multiply
    38,742x = 59,796 × 59,796
  4. Step 4: Simplify right side
    38,742x = 3,575,561,616
  5. Step 5: Solve for x
    x = 3,575,561,616/38,742
  6. Step 6: Final answer
    x = 92,291.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.