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Finding the Third Proportional to 29,173.13 and 59,416.13

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Solution

The third proportional to 29,173.13 and 59,416.13 is: 121,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,173.13 : 59,416.13 = 59,416.13 : x
  2. Step 2: Convert to fraction form
    29,173.13/59,416.13 = 59,416.13/x
  3. Step 3: Cross multiply
    29,173.13x = 59,416.13 × 59,416.13
  4. Step 4: Simplify right side
    29,173.13x = 3,530,275,910.02
  5. Step 5: Solve for x
    x = 3,530,275,910.02/29,173.13
  6. Step 6: Final answer
    x = 121,011.24

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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.