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Finding the Third Proportional to 37,264 and 80,716

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Solution

The third proportional to 37,264 and 80,716 is: 174,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,264 : 80,716 = 80,716 : x
  2. Step 2: Convert to fraction form
    37,264/80,716 = 80,716/x
  3. Step 3: Cross multiply
    37,264x = 80,716 × 80,716
  4. Step 4: Simplify right side
    37,264x = 6,515,072,656
  5. Step 5: Solve for x
    x = 6,515,072,656/37,264
  6. Step 6: Final answer
    x = 174,835.57

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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.