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Finding the Third Proportional to 13,213.13 and 29,182.78

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Solution

The third proportional to 13,213.13 and 29,182.78 is: 64,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.13 : 29,182.78 = 29,182.78 : x
  2. Step 2: Convert to fraction form
    13,213.13/29,182.78 = 29,182.78/x
  3. Step 3: Cross multiply
    13,213.13x = 29,182.78 × 29,182.78
  4. Step 4: Simplify right side
    13,213.13x = 851,634,721.49
  5. Step 5: Solve for x
    x = 851,634,721.49/13,213.13
  6. Step 6: Final answer
    x = 64,453.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.