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Finding the Third Proportional to 12,561.75 and 27,308.25

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Solution

The third proportional to 12,561.75 and 27,308.25 is: 59,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.75 : 27,308.25 = 27,308.25 : x
  2. Step 2: Convert to fraction form
    12,561.75/27,308.25 = 27,308.25/x
  3. Step 3: Cross multiply
    12,561.75x = 27,308.25 × 27,308.25
  4. Step 4: Simplify right side
    12,561.75x = 745,740,518.06
  5. Step 5: Solve for x
    x = 745,740,518.06/12,561.75
  6. Step 6: Final answer
    x = 59,365.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.