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Finding the Third Proportional to 35,782.31 and 82,432.13

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Solution

The third proportional to 35,782.31 and 82,432.13 is: 189,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.31 : 82,432.13 = 82,432.13 : x
  2. Step 2: Convert to fraction form
    35,782.31/82,432.13 = 82,432.13/x
  3. Step 3: Cross multiply
    35,782.31x = 82,432.13 × 82,432.13
  4. Step 4: Simplify right side
    35,782.31x = 6,795,055,232.02
  5. Step 5: Solve for x
    x = 6,795,055,232.02/35,782.31
  6. Step 6: Final answer
    x = 189,899.83

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.