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Finding the Third Proportional to 13,523.20 and 29,427.36

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Solution

The third proportional to 13,523.20 and 29,427.36 is: 64,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.20 : 29,427.36 = 29,427.36 : x
  2. Step 2: Convert to fraction form
    13,523.20/29,427.36 = 29,427.36/x
  3. Step 3: Cross multiply
    13,523.20x = 29,427.36 × 29,427.36
  4. Step 4: Simplify right side
    13,523.20x = 865,969,709.69
  5. Step 5: Solve for x
    x = 865,969,709.69/13,523.20
  6. Step 6: Final answer
    x = 64,035.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.