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Finding the Third Proportional to 17,872.50 and 26,775

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Solution

The third proportional to 17,872.50 and 26,775 is: 40,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.50 : 26,775 = 26,775 : x
  2. Step 2: Convert to fraction form
    17,872.50/26,775 = 26,775/x
  3. Step 3: Cross multiply
    17,872.50x = 26,775 × 26,775
  4. Step 4: Simplify right side
    17,872.50x = 716,900,625
  5. Step 5: Solve for x
    x = 716,900,625/17,872.50
  6. Step 6: Final answer
    x = 40,111.94

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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.