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Finding the Third Proportional to 12,357.56 and 27,057.80

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Solution

The third proportional to 12,357.56 and 27,057.80 is: 59,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.56 : 27,057.80 = 27,057.80 : x
  2. Step 2: Convert to fraction form
    12,357.56/27,057.80 = 27,057.80/x
  3. Step 3: Cross multiply
    12,357.56x = 27,057.80 × 27,057.80
  4. Step 4: Simplify right side
    12,357.56x = 732,124,371.73
  5. Step 5: Solve for x
    x = 732,124,371.73/12,357.56
  6. Step 6: Final answer
    x = 59,245.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.