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Finding the Third Proportional to 26,217 and 38,083.50

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Solution

The third proportional to 26,217 and 38,083.50 is: 55,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,217 : 38,083.50 = 38,083.50 : x
  2. Step 2: Convert to fraction form
    26,217/38,083.50 = 38,083.50/x
  3. Step 3: Cross multiply
    26,217x = 38,083.50 × 38,083.50
  4. Step 4: Simplify right side
    26,217x = 1,450,352,972.25
  5. Step 5: Solve for x
    x = 1,450,352,972.25/26,217
  6. Step 6: Final answer
    x = 55,321.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.