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Finding the Third Proportional to 29,110.69 and 59,291.91

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Solution

The third proportional to 29,110.69 and 59,291.91 is: 120,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,110.69 : 59,291.91 = 59,291.91 : x
  2. Step 2: Convert to fraction form
    29,110.69/59,291.91 = 59,291.91/x
  3. Step 3: Cross multiply
    29,110.69x = 59,291.91 × 59,291.91
  4. Step 4: Simplify right side
    29,110.69x = 3,515,530,146.76
  5. Step 5: Solve for x
    x = 3,515,530,146.76/29,110.69
  6. Step 6: Final answer
    x = 120,764.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.