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Finding the Third Proportional to 12,987.42 and 27,961.31

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Solution

The third proportional to 12,987.42 and 27,961.31 is: 60,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.42 : 27,961.31 = 27,961.31 : x
  2. Step 2: Convert to fraction form
    12,987.42/27,961.31 = 27,961.31/x
  3. Step 3: Cross multiply
    12,987.42x = 27,961.31 × 27,961.31
  4. Step 4: Simplify right side
    12,987.42x = 781,834,996.72
  5. Step 5: Solve for x
    x = 781,834,996.72/12,987.42
  6. Step 6: Final answer
    x = 60,199.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.