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Finding the Third Proportional to 29,174.50 and 59,420

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Solution

The third proportional to 29,174.50 and 59,420 is: 121,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,174.50 : 59,420 = 59,420 : x
  2. Step 2: Convert to fraction form
    29,174.50/59,420 = 59,420/x
  3. Step 3: Cross multiply
    29,174.50x = 59,420 × 59,420
  4. Step 4: Simplify right side
    29,174.50x = 3,530,736,400
  5. Step 5: Solve for x
    x = 3,530,736,400/29,174.50
  6. Step 6: Final answer
    x = 121,021.32

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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.