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Finding the Third Proportional to 12,504 and 17,585.25

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Solution

The third proportional to 12,504 and 17,585.25 is: 24,731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504 : 17,585.25 = 17,585.25 : x
  2. Step 2: Convert to fraction form
    12,504/17,585.25 = 17,585.25/x
  3. Step 3: Cross multiply
    12,504x = 17,585.25 × 17,585.25
  4. Step 4: Simplify right side
    12,504x = 309,241,017.56
  5. Step 5: Solve for x
    x = 309,241,017.56/12,504
  6. Step 6: Final answer
    x = 24,731.37

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.