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Finding the Third Proportional to 29,609.30 and 38,415.52

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Solution

The third proportional to 29,609.30 and 38,415.52 is: 49,840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,609.30 : 38,415.52 = 38,415.52 : x
  2. Step 2: Convert to fraction form
    29,609.30/38,415.52 = 38,415.52/x
  3. Step 3: Cross multiply
    29,609.30x = 38,415.52 × 38,415.52
  4. Step 4: Simplify right side
    29,609.30x = 1,475,751,840.73
  5. Step 5: Solve for x
    x = 1,475,751,840.73/29,609.30
  6. Step 6: Final answer
    x = 49,840.83

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.