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Finding the Third Proportional to 35,786 and 54,135

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Solution

The third proportional to 35,786 and 54,135 is: 81,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,786 : 54,135 = 54,135 : x
  2. Step 2: Convert to fraction form
    35,786/54,135 = 54,135/x
  3. Step 3: Cross multiply
    35,786x = 54,135 × 54,135
  4. Step 4: Simplify right side
    35,786x = 2,930,598,225
  5. Step 5: Solve for x
    x = 2,930,598,225/35,786
  6. Step 6: Final answer
    x = 81,892.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.