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Finding the Third Proportional to 12,881.88 and 20,491.69

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Solution

The third proportional to 12,881.88 and 20,491.69 is: 32,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.88 : 20,491.69 = 20,491.69 : x
  2. Step 2: Convert to fraction form
    12,881.88/20,491.69 = 20,491.69/x
  3. Step 3: Cross multiply
    12,881.88x = 20,491.69 × 20,491.69
  4. Step 4: Simplify right side
    12,881.88x = 419,909,256.60
  5. Step 5: Solve for x
    x = 419,909,256.60/12,881.88
  6. Step 6: Final answer
    x = 32,596.91

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.