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Finding the Third Proportional to 16,409.67 and 25,458.26

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Solution

The third proportional to 16,409.67 and 25,458.26 is: 39,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.67 : 25,458.26 = 25,458.26 : x
  2. Step 2: Convert to fraction form
    16,409.67/25,458.26 = 25,458.26/x
  3. Step 3: Cross multiply
    16,409.67x = 25,458.26 × 25,458.26
  4. Step 4: Simplify right side
    16,409.67x = 648,122,890.85
  5. Step 5: Solve for x
    x = 648,122,890.85/16,409.67
  6. Step 6: Final answer
    x = 39,496.40

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Why These Related Problems?

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