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Finding the Third Proportional to 13,571.30 and 29,902.92

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Solution

The third proportional to 13,571.30 and 29,902.92 is: 65,887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.30 : 29,902.92 = 29,902.92 : x
  2. Step 2: Convert to fraction form
    13,571.30/29,902.92 = 29,902.92/x
  3. Step 3: Cross multiply
    13,571.30x = 29,902.92 × 29,902.92
  4. Step 4: Simplify right side
    13,571.30x = 894,184,736.66
  5. Step 5: Solve for x
    x = 894,184,736.66/13,571.30
  6. Step 6: Final answer
    x = 65,887.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.