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Finding the Third Proportional to 12,837.23 and 27,724.78

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Solution

The third proportional to 12,837.23 and 27,724.78 is: 59,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.23 : 27,724.78 = 27,724.78 : x
  2. Step 2: Convert to fraction form
    12,837.23/27,724.78 = 27,724.78/x
  3. Step 3: Cross multiply
    12,837.23x = 27,724.78 × 27,724.78
  4. Step 4: Simplify right side
    12,837.23x = 768,663,495.36
  5. Step 5: Solve for x
    x = 768,663,495.36/12,837.23
  6. Step 6: Final answer
    x = 59,877.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.