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Finding the Third Proportional to 46,379.25 and 66,997.13

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Solution

The third proportional to 46,379.25 and 66,997.13 is: 96,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,379.25 : 66,997.13 = 66,997.13 : x
  2. Step 2: Convert to fraction form
    46,379.25/66,997.13 = 66,997.13/x
  3. Step 3: Cross multiply
    46,379.25x = 66,997.13 × 66,997.13
  4. Step 4: Simplify right side
    46,379.25x = 4,488,614,758.27
  5. Step 5: Solve for x
    x = 4,488,614,758.27/46,379.25
  6. Step 6: Final answer
    x = 96,780.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.