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Finding the Third Proportional to 26,684 and 57,928

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Solution

The third proportional to 26,684 and 57,928 is: 125,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,684 : 57,928 = 57,928 : x
  2. Step 2: Convert to fraction form
    26,684/57,928 = 57,928/x
  3. Step 3: Cross multiply
    26,684x = 57,928 × 57,928
  4. Step 4: Simplify right side
    26,684x = 3,355,653,184
  5. Step 5: Solve for x
    x = 3,355,653,184/26,684
  6. Step 6: Final answer
    x = 125,755.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.