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Finding the Third Proportional to 13,709.25 and 18,577.13

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Solution

The third proportional to 13,709.25 and 18,577.13 is: 25,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.25 : 18,577.13 = 18,577.13 : x
  2. Step 2: Convert to fraction form
    13,709.25/18,577.13 = 18,577.13/x
  3. Step 3: Cross multiply
    13,709.25x = 18,577.13 × 18,577.13
  4. Step 4: Simplify right side
    13,709.25x = 345,109,573.27
  5. Step 5: Solve for x
    x = 345,109,573.27/13,709.25
  6. Step 6: Final answer
    x = 25,173.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.