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Finding the Third Proportional to 12,535.88 and 27,531.75

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Solution

The third proportional to 12,535.88 and 27,531.75 is: 60,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.88 : 27,531.75 = 27,531.75 : x
  2. Step 2: Convert to fraction form
    12,535.88/27,531.75 = 27,531.75/x
  3. Step 3: Cross multiply
    12,535.88x = 27,531.75 × 27,531.75
  4. Step 4: Simplify right side
    12,535.88x = 757,997,258.06
  5. Step 5: Solve for x
    x = 757,997,258.06/12,535.88
  6. Step 6: Final answer
    x = 60,466.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.