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Finding the Third Proportional to 16,767 and 26,709.75

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Solution

The third proportional to 16,767 and 26,709.75 is: 42,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 26,709.75 = 26,709.75 : x
  2. Step 2: Convert to fraction form
    16,767/26,709.75 = 26,709.75/x
  3. Step 3: Cross multiply
    16,767x = 26,709.75 × 26,709.75
  4. Step 4: Simplify right side
    16,767x = 713,410,745.06
  5. Step 5: Solve for x
    x = 713,410,745.06/16,767
  6. Step 6: Final answer
    x = 42,548.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.