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Finding the Third Proportional to 36,450 and 77,951.74

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Solution

The third proportional to 36,450 and 77,951.74 is: 166,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,450 : 77,951.74 = 77,951.74 : x
  2. Step 2: Convert to fraction form
    36,450/77,951.74 = 77,951.74/x
  3. Step 3: Cross multiply
    36,450x = 77,951.74 × 77,951.74
  4. Step 4: Simplify right side
    36,450x = 6,076,474,110.07
  5. Step 5: Solve for x
    x = 6,076,474,110.07/36,450
  6. Step 6: Final answer
    x = 166,707.11

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Why These Related Problems?

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