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Finding the Third Proportional to 10,403.44 and 16,546.78

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Solution

The third proportional to 10,403.44 and 16,546.78 is: 26,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.44 : 16,546.78 = 16,546.78 : x
  2. Step 2: Convert to fraction form
    10,403.44/16,546.78 = 16,546.78/x
  3. Step 3: Cross multiply
    10,403.44x = 16,546.78 × 16,546.78
  4. Step 4: Simplify right side
    10,403.44x = 273,795,969.74
  5. Step 5: Solve for x
    x = 273,795,969.74/10,403.44
  6. Step 6: Final answer
    x = 26,317.84

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Why These Related Problems?

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