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Finding the Third Proportional to 17,671.50 and 25,008.75

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Solution

The third proportional to 17,671.50 and 25,008.75 is: 35,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.50 : 25,008.75 = 25,008.75 : x
  2. Step 2: Convert to fraction form
    17,671.50/25,008.75 = 25,008.75/x
  3. Step 3: Cross multiply
    17,671.50x = 25,008.75 × 25,008.75
  4. Step 4: Simplify right side
    17,671.50x = 625,437,576.56
  5. Step 5: Solve for x
    x = 625,437,576.56/17,671.50
  6. Step 6: Final answer
    x = 35,392.44

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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.