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Finding the Third Proportional to 32,769 and 69,828.75

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Solution

The third proportional to 32,769 and 69,828.75 is: 148,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769 : 69,828.75 = 69,828.75 : x
  2. Step 2: Convert to fraction form
    32,769/69,828.75 = 69,828.75/x
  3. Step 3: Cross multiply
    32,769x = 69,828.75 × 69,828.75
  4. Step 4: Simplify right side
    32,769x = 4,876,054,326.56
  5. Step 5: Solve for x
    x = 4,876,054,326.56/32,769
  6. Step 6: Final answer
    x = 148,800.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.