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Finding the Third Proportional to 26,154 and 32,751

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Solution

The third proportional to 26,154 and 32,751 is: 41,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,154 : 32,751 = 32,751 : x
  2. Step 2: Convert to fraction form
    26,154/32,751 = 32,751/x
  3. Step 3: Cross multiply
    26,154x = 32,751 × 32,751
  4. Step 4: Simplify right side
    26,154x = 1,072,628,001
  5. Step 5: Solve for x
    x = 1,072,628,001/26,154
  6. Step 6: Final answer
    x = 41,012.01

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.