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Finding the Third Proportional to 26,886 and 62,794.50

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Solution

The third proportional to 26,886 and 62,794.50 is: 146,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,886 : 62,794.50 = 62,794.50 : x
  2. Step 2: Convert to fraction form
    26,886/62,794.50 = 62,794.50/x
  3. Step 3: Cross multiply
    26,886x = 62,794.50 × 62,794.50
  4. Step 4: Simplify right side
    26,886x = 3,943,149,230.25
  5. Step 5: Solve for x
    x = 3,943,149,230.25/26,886
  6. Step 6: Final answer
    x = 146,661.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.