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Finding the Third Proportional to 38,343.94 and 82,018.50

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Solution

The third proportional to 38,343.94 and 82,018.50 is: 175,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,343.94 : 82,018.50 = 82,018.50 : x
  2. Step 2: Convert to fraction form
    38,343.94/82,018.50 = 82,018.50/x
  3. Step 3: Cross multiply
    38,343.94x = 82,018.50 × 82,018.50
  4. Step 4: Simplify right side
    38,343.94x = 6,727,034,342.25
  5. Step 5: Solve for x
    x = 6,727,034,342.25/38,343.94
  6. Step 6: Final answer
    x = 175,439.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.