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Finding the Third Proportional to 37,539 and 82,041.75

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Solution

The third proportional to 37,539 and 82,041.75 is: 179,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,539 : 82,041.75 = 82,041.75 : x
  2. Step 2: Convert to fraction form
    37,539/82,041.75 = 82,041.75/x
  3. Step 3: Cross multiply
    37,539x = 82,041.75 × 82,041.75
  4. Step 4: Simplify right side
    37,539x = 6,730,848,743.06
  5. Step 5: Solve for x
    x = 6,730,848,743.06/37,539
  6. Step 6: Final answer
    x = 179,302.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.