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Finding the Third Proportional to 17,671.50 and 25,407

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Solution

The third proportional to 17,671.50 and 25,407 is: 36,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.50 : 25,407 = 25,407 : x
  2. Step 2: Convert to fraction form
    17,671.50/25,407 = 25,407/x
  3. Step 3: Cross multiply
    17,671.50x = 25,407 × 25,407
  4. Step 4: Simplify right side
    17,671.50x = 645,515,649
  5. Step 5: Solve for x
    x = 645,515,649/17,671.50
  6. Step 6: Final answer
    x = 36,528.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.