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Finding the Third Proportional to 30,454.95 and 73,369.55

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Solution

The third proportional to 30,454.95 and 73,369.55 is: 176,755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454.95 : 73,369.55 = 73,369.55 : x
  2. Step 2: Convert to fraction form
    30,454.95/73,369.55 = 73,369.55/x
  3. Step 3: Cross multiply
    30,454.95x = 73,369.55 × 73,369.55
  4. Step 4: Simplify right side
    30,454.95x = 5,383,090,408.64
  5. Step 5: Solve for x
    x = 5,383,090,408.64/30,454.95
  6. Step 6: Final answer
    x = 176,755.87

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.