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Finding the Third Proportional to 12,372.75 and 27,506.25

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Solution

The third proportional to 12,372.75 and 27,506.25 is: 61,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.75 : 27,506.25 = 27,506.25 : x
  2. Step 2: Convert to fraction form
    12,372.75/27,506.25 = 27,506.25/x
  3. Step 3: Cross multiply
    12,372.75x = 27,506.25 × 27,506.25
  4. Step 4: Simplify right side
    12,372.75x = 756,593,789.06
  5. Step 5: Solve for x
    x = 756,593,789.06/12,372.75
  6. Step 6: Final answer
    x = 61,150.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.