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Finding the Third Proportional to 27,226.13 and 33,422.63

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Solution

The third proportional to 27,226.13 and 33,422.63 is: 41,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,226.13 : 33,422.63 = 33,422.63 : x
  2. Step 2: Convert to fraction form
    27,226.13/33,422.63 = 33,422.63/x
  3. Step 3: Cross multiply
    27,226.13x = 33,422.63 × 33,422.63
  4. Step 4: Simplify right side
    27,226.13x = 1,117,071,861.89
  5. Step 5: Solve for x
    x = 1,117,071,861.89/27,226.13
  6. Step 6: Final answer
    x = 41,029.41

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.