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Finding the Third Proportional to 11,577.94 and 16,405.03

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Solution

The third proportional to 11,577.94 and 16,405.03 is: 23,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.94 : 16,405.03 = 16,405.03 : x
  2. Step 2: Convert to fraction form
    11,577.94/16,405.03 = 16,405.03/x
  3. Step 3: Cross multiply
    11,577.94x = 16,405.03 × 16,405.03
  4. Step 4: Simplify right side
    11,577.94x = 269,125,050.31
  5. Step 5: Solve for x
    x = 269,125,050.31/11,577.94
  6. Step 6: Final answer
    x = 23,244.65

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.