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Finding the Third Proportional to 12,555 and 27,863.50

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Solution

The third proportional to 12,555 and 27,863.50 is: 61,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,555 : 27,863.50 = 27,863.50 : x
  2. Step 2: Convert to fraction form
    12,555/27,863.50 = 27,863.50/x
  3. Step 3: Cross multiply
    12,555x = 27,863.50 × 27,863.50
  4. Step 4: Simplify right side
    12,555x = 776,374,632.25
  5. Step 5: Solve for x
    x = 776,374,632.25/12,555
  6. Step 6: Final answer
    x = 61,837.88

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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.