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Finding the Third Proportional to 17,145 and 25,647.75

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Solution

The third proportional to 17,145 and 25,647.75 is: 38,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,145 : 25,647.75 = 25,647.75 : x
  2. Step 2: Convert to fraction form
    17,145/25,647.75 = 25,647.75/x
  3. Step 3: Cross multiply
    17,145x = 25,647.75 × 25,647.75
  4. Step 4: Simplify right side
    17,145x = 657,807,080.06
  5. Step 5: Solve for x
    x = 657,807,080.06/17,145
  6. Step 6: Final answer
    x = 38,367.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.