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Finding the Third Proportional to 37,330.50 and 81,942

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Solution

The third proportional to 37,330.50 and 81,942 is: 179,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,330.50 : 81,942 = 81,942 : x
  2. Step 2: Convert to fraction form
    37,330.50/81,942 = 81,942/x
  3. Step 3: Cross multiply
    37,330.50x = 81,942 × 81,942
  4. Step 4: Simplify right side
    37,330.50x = 6,714,491,364
  5. Step 5: Solve for x
    x = 6,714,491,364/37,330.50
  6. Step 6: Final answer
    x = 179,866.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.