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Finding the Third Proportional to 34,296 and 73,346.25

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Solution

The third proportional to 34,296 and 73,346.25 is: 156,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,296 : 73,346.25 = 73,346.25 : x
  2. Step 2: Convert to fraction form
    34,296/73,346.25 = 73,346.25/x
  3. Step 3: Cross multiply
    34,296x = 73,346.25 × 73,346.25
  4. Step 4: Simplify right side
    34,296x = 5,379,672,389.06
  5. Step 5: Solve for x
    x = 5,379,672,389.06/34,296
  6. Step 6: Final answer
    x = 156,860.05

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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.