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Finding the Third Proportional to 30,609 and 43,429.50

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Solution

The third proportional to 30,609 and 43,429.50 is: 61,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609 : 43,429.50 = 43,429.50 : x
  2. Step 2: Convert to fraction form
    30,609/43,429.50 = 43,429.50/x
  3. Step 3: Cross multiply
    30,609x = 43,429.50 × 43,429.50
  4. Step 4: Simplify right side
    30,609x = 1,886,121,470.25
  5. Step 5: Solve for x
    x = 1,886,121,470.25/30,609
  6. Step 6: Final answer
    x = 61,619.83

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.