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Finding the Third Proportional to 26,935.50 and 58,767

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Solution

The third proportional to 26,935.50 and 58,767 is: 128,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,935.50 : 58,767 = 58,767 : x
  2. Step 2: Convert to fraction form
    26,935.50/58,767 = 58,767/x
  3. Step 3: Cross multiply
    26,935.50x = 58,767 × 58,767
  4. Step 4: Simplify right side
    26,935.50x = 3,453,560,289
  5. Step 5: Solve for x
    x = 3,453,560,289/26,935.50
  6. Step 6: Final answer
    x = 128,215.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.