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Finding the Third Proportional to 16,419.94 and 25,477.03

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Solution

The third proportional to 16,419.94 and 25,477.03 is: 39,529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.94 : 25,477.03 = 25,477.03 : x
  2. Step 2: Convert to fraction form
    16,419.94/25,477.03 = 25,477.03/x
  3. Step 3: Cross multiply
    16,419.94x = 25,477.03 × 25,477.03
  4. Step 4: Simplify right side
    16,419.94x = 649,079,121.31
  5. Step 5: Solve for x
    x = 649,079,121.31/16,419.94
  6. Step 6: Final answer
    x = 39,529.94

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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.