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Finding the Third Proportional to 16,406.72 and 25,453.41

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Solution

The third proportional to 16,406.72 and 25,453.41 is: 39,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.72 : 25,453.41 = 25,453.41 : x
  2. Step 2: Convert to fraction form
    16,406.72/25,453.41 = 25,453.41/x
  3. Step 3: Cross multiply
    16,406.72x = 25,453.41 × 25,453.41
  4. Step 4: Simplify right side
    16,406.72x = 647,875,889.73
  5. Step 5: Solve for x
    x = 647,875,889.73/16,406.72
  6. Step 6: Final answer
    x = 39,488.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.