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Finding the Third Proportional to 12,096.84 and 25,987.71

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Solution

The third proportional to 12,096.84 and 25,987.71 is: 55,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.84 : 25,987.71 = 25,987.71 : x
  2. Step 2: Convert to fraction form
    12,096.84/25,987.71 = 25,987.71/x
  3. Step 3: Cross multiply
    12,096.84x = 25,987.71 × 25,987.71
  4. Step 4: Simplify right side
    12,096.84x = 675,361,119.77
  5. Step 5: Solve for x
    x = 675,361,119.77/12,096.84
  6. Step 6: Final answer
    x = 55,829.53

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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.