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Finding the Third Proportional to 30,786 and 41,790

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Solution

The third proportional to 30,786 and 41,790 is: 56,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786 : 41,790 = 41,790 : x
  2. Step 2: Convert to fraction form
    30,786/41,790 = 41,790/x
  3. Step 3: Cross multiply
    30,786x = 41,790 × 41,790
  4. Step 4: Simplify right side
    30,786x = 1,746,404,100
  5. Step 5: Solve for x
    x = 1,746,404,100/30,786
  6. Step 6: Final answer
    x = 56,727.22

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.