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Finding the Third Proportional to 35,982.56 and 54,008.44

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Solution

The third proportional to 35,982.56 and 54,008.44 is: 81,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982.56 : 54,008.44 = 54,008.44 : x
  2. Step 2: Convert to fraction form
    35,982.56/54,008.44 = 54,008.44/x
  3. Step 3: Cross multiply
    35,982.56x = 54,008.44 × 54,008.44
  4. Step 4: Simplify right side
    35,982.56x = 2,916,911,321.19
  5. Step 5: Solve for x
    x = 2,916,911,321.19/35,982.56
  6. Step 6: Final answer
    x = 81,064.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.