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Finding the Third Proportional to 12,539.25 and 27,326.25

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Solution

The third proportional to 12,539.25 and 27,326.25 is: 59,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,539.25 : 27,326.25 = 27,326.25 : x
  2. Step 2: Convert to fraction form
    12,539.25/27,326.25 = 27,326.25/x
  3. Step 3: Cross multiply
    12,539.25x = 27,326.25 × 27,326.25
  4. Step 4: Simplify right side
    12,539.25x = 746,723,939.06
  5. Step 5: Solve for x
    x = 746,723,939.06/12,539.25
  6. Step 6: Final answer
    x = 59,550.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.