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Finding the Third Proportional to 16,012.13 and 18,745.88

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Solution

The third proportional to 16,012.13 and 18,745.88 is: 21,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.13 : 18,745.88 = 18,745.88 : x
  2. Step 2: Convert to fraction form
    16,012.13/18,745.88 = 18,745.88/x
  3. Step 3: Cross multiply
    16,012.13x = 18,745.88 × 18,745.88
  4. Step 4: Simplify right side
    16,012.13x = 351,407,829.52
  5. Step 5: Solve for x
    x = 351,407,829.52/16,012.13
  6. Step 6: Final answer
    x = 21,946.36

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.