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Finding the Third Proportional to 11,925.56 and 27,033.75

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Solution

The third proportional to 11,925.56 and 27,033.75 is: 61,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.56 : 27,033.75 = 27,033.75 : x
  2. Step 2: Convert to fraction form
    11,925.56/27,033.75 = 27,033.75/x
  3. Step 3: Cross multiply
    11,925.56x = 27,033.75 × 27,033.75
  4. Step 4: Simplify right side
    11,925.56x = 730,823,639.06
  5. Step 5: Solve for x
    x = 730,823,639.06/11,925.56
  6. Step 6: Final answer
    x = 61,282.11

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.