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Finding the Third Proportional to 43,221.75 and 64,206.38

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Solution

The third proportional to 43,221.75 and 64,206.38 is: 95,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,221.75 : 64,206.38 = 64,206.38 : x
  2. Step 2: Convert to fraction form
    43,221.75/64,206.38 = 64,206.38/x
  3. Step 3: Cross multiply
    43,221.75x = 64,206.38 × 64,206.38
  4. Step 4: Simplify right side
    43,221.75x = 4,122,458,590.64
  5. Step 5: Solve for x
    x = 4,122,458,590.64/43,221.75
  6. Step 6: Final answer
    x = 95,379.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.