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Finding the Third Proportional to 35,982 and 54,476

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Solution

The third proportional to 35,982 and 54,476 is: 82,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982 : 54,476 = 54,476 : x
  2. Step 2: Convert to fraction form
    35,982/54,476 = 54,476/x
  3. Step 3: Cross multiply
    35,982x = 54,476 × 54,476
  4. Step 4: Simplify right side
    35,982x = 2,967,634,576
  5. Step 5: Solve for x
    x = 2,967,634,576/35,982
  6. Step 6: Final answer
    x = 82,475.53

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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.