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Finding the Third Proportional to 26,767 and 57,673

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Solution

The third proportional to 26,767 and 57,673 is: 124,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,767 : 57,673 = 57,673 : x
  2. Step 2: Convert to fraction form
    26,767/57,673 = 57,673/x
  3. Step 3: Cross multiply
    26,767x = 57,673 × 57,673
  4. Step 4: Simplify right side
    26,767x = 3,326,174,929
  5. Step 5: Solve for x
    x = 3,326,174,929/26,767
  6. Step 6: Final answer
    x = 124,264.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.