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Finding the Third Proportional to 10,717.50 and 16,832.25

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Solution

The third proportional to 10,717.50 and 16,832.25 is: 26,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.50 : 16,832.25 = 16,832.25 : x
  2. Step 2: Convert to fraction form
    10,717.50/16,832.25 = 16,832.25/x
  3. Step 3: Cross multiply
    10,717.50x = 16,832.25 × 16,832.25
  4. Step 4: Simplify right side
    10,717.50x = 283,324,640.06
  5. Step 5: Solve for x
    x = 283,324,640.06/10,717.50
  6. Step 6: Final answer
    x = 26,435.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.