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Finding the Third Proportional to 27,793.13 and 30,344.63

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Solution

The third proportional to 27,793.13 and 30,344.63 is: 33,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.13 : 30,344.63 = 30,344.63 : x
  2. Step 2: Convert to fraction form
    27,793.13/30,344.63 = 30,344.63/x
  3. Step 3: Cross multiply
    27,793.13x = 30,344.63 × 30,344.63
  4. Step 4: Simplify right side
    27,793.13x = 920,796,266.39
  5. Step 5: Solve for x
    x = 920,796,266.39/27,793.13
  6. Step 6: Final answer
    x = 33,130.36

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.