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Finding the Third Proportional to 12,884.06 and 27,402.75

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Solution

The third proportional to 12,884.06 and 27,402.75 is: 58,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.06 : 27,402.75 = 27,402.75 : x
  2. Step 2: Convert to fraction form
    12,884.06/27,402.75 = 27,402.75/x
  3. Step 3: Cross multiply
    12,884.06x = 27,402.75 × 27,402.75
  4. Step 4: Simplify right side
    12,884.06x = 750,910,707.56
  5. Step 5: Solve for x
    x = 750,910,707.56/12,884.06
  6. Step 6: Final answer
    x = 58,282.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.