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Finding the Third Proportional to 35,982 and 54,475

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Solution

The third proportional to 35,982 and 54,475 is: 82,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982 : 54,475 = 54,475 : x
  2. Step 2: Convert to fraction form
    35,982/54,475 = 54,475/x
  3. Step 3: Cross multiply
    35,982x = 54,475 × 54,475
  4. Step 4: Simplify right side
    35,982x = 2,967,525,625
  5. Step 5: Solve for x
    x = 2,967,525,625/35,982
  6. Step 6: Final answer
    x = 82,472.50

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