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Finding the Third Proportional to 37,660.50 and 81,156

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Solution

The third proportional to 37,660.50 and 81,156 is: 174,886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,660.50 : 81,156 = 81,156 : x
  2. Step 2: Convert to fraction form
    37,660.50/81,156 = 81,156/x
  3. Step 3: Cross multiply
    37,660.50x = 81,156 × 81,156
  4. Step 4: Simplify right side
    37,660.50x = 6,586,296,336
  5. Step 5: Solve for x
    x = 6,586,296,336/37,660.50
  6. Step 6: Final answer
    x = 174,886.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.