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Finding the Third Proportional to 26,734 and 58,022

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Solution

The third proportional to 26,734 and 58,022 is: 125,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,734 : 58,022 = 58,022 : x
  2. Step 2: Convert to fraction form
    26,734/58,022 = 58,022/x
  3. Step 3: Cross multiply
    26,734x = 58,022 × 58,022
  4. Step 4: Simplify right side
    26,734x = 3,366,552,484
  5. Step 5: Solve for x
    x = 3,366,552,484/26,734
  6. Step 6: Final answer
    x = 125,927.75

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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.