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Finding the Third Proportional to 26,831 and 58,948

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Solution

The third proportional to 26,831 and 58,948 is: 129,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,831 : 58,948 = 58,948 : x
  2. Step 2: Convert to fraction form
    26,831/58,948 = 58,948/x
  3. Step 3: Cross multiply
    26,831x = 58,948 × 58,948
  4. Step 4: Simplify right side
    26,831x = 3,474,866,704
  5. Step 5: Solve for x
    x = 3,474,866,704/26,831
  6. Step 6: Final answer
    x = 129,509.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.