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Finding the Third Proportional to 37,380 and 81,288

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Solution

The third proportional to 37,380 and 81,288 is: 176,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,380 : 81,288 = 81,288 : x
  2. Step 2: Convert to fraction form
    37,380/81,288 = 81,288/x
  3. Step 3: Cross multiply
    37,380x = 81,288 × 81,288
  4. Step 4: Simplify right side
    37,380x = 6,607,738,944
  5. Step 5: Solve for x
    x = 6,607,738,944/37,380
  6. Step 6: Final answer
    x = 176,772.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.